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Finding the Fourth Proportional to 382,361, 527,442.96 and 229,358.48

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Solution

The fourth proportional to 382,361, 527,442.96 and 229,358.48 is: 316,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,361 : 527,442.96 = 229,358.48 : x
  2. Step 2: Convert to fraction form
    382,361/527,442.96 = 229,358.48/x
  3. Step 3: Cross multiply
    382,361x = 527,442.96 × 229,358.48
  4. Step 4: Simplify right side
    382,361x = 120,973,515,592.30
  5. Step 5: Solve for x
    x = 120,973,515,592.30/382,361
  6. Step 6: Final answer
    x = 316,385.60

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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.