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Finding the Fourth Proportional to 514,065.80, 708,913.14 and 400,847.24

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Solution

The fourth proportional to 514,065.80, 708,913.14 and 400,847.24 is: 552,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,065.80 : 708,913.14 = 400,847.24 : x
  2. Step 2: Convert to fraction form
    514,065.80/708,913.14 = 400,847.24/x
  3. Step 3: Cross multiply
    514,065.80x = 708,913.14 × 400,847.24
  4. Step 4: Simplify right side
    514,065.80x = 284,165,875,568.73
  5. Step 5: Solve for x
    x = 284,165,875,568.73/514,065.80
  6. Step 6: Final answer
    x = 552,781.13

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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.