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Finding the Fourth Proportional to 409,862.49, 614,834.73 and 125,549.76

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Solution

The fourth proportional to 409,862.49, 614,834.73 and 125,549.76 is: 188,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,862.49 : 614,834.73 = 125,549.76 : x
  2. Step 2: Convert to fraction form
    409,862.49/614,834.73 = 125,549.76/x
  3. Step 3: Cross multiply
    409,862.49x = 614,834.73 × 125,549.76
  4. Step 4: Simplify right side
    409,862.49x = 77,192,352,791.16
  5. Step 5: Solve for x
    x = 77,192,352,791.16/409,862.49
  6. Step 6: Final answer
    x = 188,337.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.