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Finding the Fourth Proportional to 516,711.23, 713,076.97 and 284,126.13

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Solution

The fourth proportional to 516,711.23, 713,076.97 and 284,126.13 is: 392,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,711.23 : 713,076.97 = 284,126.13 : x
  2. Step 2: Convert to fraction form
    516,711.23/713,076.97 = 284,126.13/x
  3. Step 3: Cross multiply
    516,711.23x = 713,076.97 × 284,126.13
  4. Step 4: Simplify right side
    516,711.23x = 202,603,799,700.65
  5. Step 5: Solve for x
    x = 202,603,799,700.65/516,711.23
  6. Step 6: Final answer
    x = 392,102.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.