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Finding the Fourth Proportional to 514,253.84, 709,616.23 and 284,805.13

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Solution

The fourth proportional to 514,253.84, 709,616.23 and 284,805.13 is: 393,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,253.84 : 709,616.23 = 284,805.13 : x
  2. Step 2: Convert to fraction form
    514,253.84/709,616.23 = 284,805.13/x
  3. Step 3: Cross multiply
    514,253.84x = 709,616.23 × 284,805.13
  4. Step 4: Simplify right side
    514,253.84x = 202,102,342,635.26
  5. Step 5: Solve for x
    x = 202,102,342,635.26/514,253.84
  6. Step 6: Final answer
    x = 393,001.13

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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.