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Finding the Fourth Proportional to 514,175.68, 709,553.55 and 284,728.42

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Solution

The fourth proportional to 514,175.68, 709,553.55 and 284,728.42 is: 392,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,175.68 : 709,553.55 = 284,728.42 : x
  2. Step 2: Convert to fraction form
    514,175.68/709,553.55 = 284,728.42/x
  3. Step 3: Cross multiply
    514,175.68x = 709,553.55 × 284,728.42
  4. Step 4: Simplify right side
    514,175.68x = 202,030,061,196.89
  5. Step 5: Solve for x
    x = 202,030,061,196.89/514,175.68
  6. Step 6: Final answer
    x = 392,920.30

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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.