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Finding the Fourth Proportional to 409,896.03, 614,862.48 and 125,565.82

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Solution

The fourth proportional to 409,896.03, 614,862.48 and 125,565.82 is: 188,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,896.03 : 614,862.48 = 125,565.82 : x
  2. Step 2: Convert to fraction form
    409,896.03/614,862.48 = 125,565.82/x
  3. Step 3: Cross multiply
    409,896.03x = 614,862.48 × 125,565.82
  4. Step 4: Simplify right side
    409,896.03x = 77,205,711,174.52
  5. Step 5: Solve for x
    x = 77,205,711,174.52/409,896.03
  6. Step 6: Final answer
    x = 188,354.38

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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.