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Finding the Fourth Proportional to 516,753.07, 713,127.53 and 284,189.20

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Solution

The fourth proportional to 516,753.07, 713,127.53 and 284,189.20 is: 392,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,753.07 : 713,127.53 = 284,189.20 : x
  2. Step 2: Convert to fraction form
    516,753.07/713,127.53 = 284,189.20/x
  3. Step 3: Cross multiply
    516,753.07x = 713,127.53 × 284,189.20
  4. Step 4: Simplify right side
    516,753.07x = 202,663,142,248.68
  5. Step 5: Solve for x
    x = 202,663,142,248.68/516,753.07
  6. Step 6: Final answer
    x = 392,185.66

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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.