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Finding the Fourth Proportional to 514,250.34, 709,611.41 and 284,801.62

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Solution

The fourth proportional to 514,250.34, 709,611.41 and 284,801.62 is: 392,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,250.34 : 709,611.41 = 284,801.62 : x
  2. Step 2: Convert to fraction form
    514,250.34/709,611.41 = 284,801.62/x
  3. Step 3: Cross multiply
    514,250.34x = 709,611.41 × 284,801.62
  4. Step 4: Simplify right side
    514,250.34x = 202,098,478,605.98
  5. Step 5: Solve for x
    x = 202,098,478,605.98/514,250.34
  6. Step 6: Final answer
    x = 392,996.29

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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.