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Finding the Fourth Proportional to 471,041.32, 650,030.70 and 256,176.76

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Solution

The fourth proportional to 471,041.32, 650,030.70 and 256,176.76 is: 353,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,041.32 : 650,030.70 = 256,176.76 : x
  2. Step 2: Convert to fraction form
    471,041.32/650,030.70 = 256,176.76/x
  3. Step 3: Cross multiply
    471,041.32x = 650,030.70 × 256,176.76
  4. Step 4: Simplify right side
    471,041.32x = 166,522,758,626.53
  5. Step 5: Solve for x
    x = 166,522,758,626.53/471,041.32
  6. Step 6: Final answer
    x = 353,520.49

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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.