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Finding the Fourth Proportional to 514,174.68, 709,552.17 and 284,727.42

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Solution

The fourth proportional to 514,174.68, 709,552.17 and 284,727.42 is: 392,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,174.68 : 709,552.17 = 284,727.42 : x
  2. Step 2: Convert to fraction form
    514,174.68/709,552.17 = 284,727.42/x
  3. Step 3: Cross multiply
    514,174.68x = 709,552.17 × 284,727.42
  4. Step 4: Simplify right side
    514,174.68x = 202,028,958,719.50
  5. Step 5: Solve for x
    x = 202,028,958,719.50/514,174.68
  6. Step 6: Final answer
    x = 392,918.92

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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.