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Finding the Fourth Proportional to 382,035.92, 527,242.44 and 212,304.08

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Solution

The fourth proportional to 382,035.92, 527,242.44 and 212,304.08 is: 292,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,035.92 : 527,242.44 = 212,304.08 : x
  2. Step 2: Convert to fraction form
    382,035.92/527,242.44 = 212,304.08/x
  3. Step 3: Cross multiply
    382,035.92x = 527,242.44 × 212,304.08
  4. Step 4: Simplify right side
    382,035.92x = 111,935,721,161.16
  5. Step 5: Solve for x
    x = 111,935,721,161.16/382,035.92
  6. Step 6: Final answer
    x = 292,997.90

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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.