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Finding the Fourth Proportional to 518,984.76, 716,199.66 and 280,520.76

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Solution

The fourth proportional to 518,984.76, 716,199.66 and 280,520.76 is: 387,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,984.76 : 716,199.66 = 280,520.76 : x
  2. Step 2: Convert to fraction form
    518,984.76/716,199.66 = 280,520.76/x
  3. Step 3: Cross multiply
    518,984.76x = 716,199.66 × 280,520.76
  4. Step 4: Simplify right side
    518,984.76x = 200,908,872,934.94
  5. Step 5: Solve for x
    x = 200,908,872,934.94/518,984.76
  6. Step 6: Final answer
    x = 387,119.02

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Half scale
Find fourth proportional to 1,037,969.52, 1,432,399.32 and 561,041.52
Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.