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Finding the Fourth Proportional to 519,451.92, 716,854.84 and 286,878.16

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Solution

The fourth proportional to 519,451.92, 716,854.84 and 286,878.16 is: 395,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,451.92 : 716,854.84 = 286,878.16 : x
  2. Step 2: Convert to fraction form
    519,451.92/716,854.84 = 286,878.16/x
  3. Step 3: Cross multiply
    519,451.92x = 716,854.84 × 286,878.16
  4. Step 4: Simplify right side
    519,451.92x = 205,649,997,486.29
  5. Step 5: Solve for x
    x = 205,649,997,486.29/519,451.92
  6. Step 6: Final answer
    x = 395,898.04

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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.