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Finding the Fourth Proportional to 392,442.30, 588,663.45 and 96,954.30

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Solution

The fourth proportional to 392,442.30, 588,663.45 and 96,954.30 is: 145,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,442.30 : 588,663.45 = 96,954.30 : x
  2. Step 2: Convert to fraction form
    392,442.30/588,663.45 = 96,954.30/x
  3. Step 3: Cross multiply
    392,442.30x = 588,663.45 × 96,954.30
  4. Step 4: Simplify right side
    392,442.30x = 57,073,452,730.34
  5. Step 5: Solve for x
    x = 57,073,452,730.34/392,442.30
  6. Step 6: Final answer
    x = 145,431.45

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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.