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Finding the Fourth Proportional to 386,679.24, 580,248.50 and 209,182.32

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Solution

The fourth proportional to 386,679.24, 580,248.50 and 209,182.32 is: 313,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,679.24 : 580,248.50 = 209,182.32 : x
  2. Step 2: Convert to fraction form
    386,679.24/580,248.50 = 209,182.32/x
  3. Step 3: Cross multiply
    386,679.24x = 580,248.50 × 209,182.32
  4. Step 4: Simplify right side
    386,679.24x = 121,377,726,360.61
  5. Step 5: Solve for x
    x = 121,377,726,360.61/386,679.24
  6. Step 6: Final answer
    x = 313,897.71

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