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Finding the Fourth Proportional to 320,658.24, 442,517.28 and 177,431.28

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Solution

The fourth proportional to 320,658.24, 442,517.28 and 177,431.28 is: 244,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,658.24 : 442,517.28 = 177,431.28 : x
  2. Step 2: Convert to fraction form
    320,658.24/442,517.28 = 177,431.28/x
  3. Step 3: Cross multiply
    320,658.24x = 442,517.28 × 177,431.28
  4. Step 4: Simplify right side
    320,658.24x = 78,516,407,412.52
  5. Step 5: Solve for x
    x = 78,516,407,412.52/320,658.24
  6. Step 6: Final answer
    x = 244,860.10

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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.