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Finding the Fourth Proportional to 420,394.38, 580,156.56 and 229,420.08

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Solution

The fourth proportional to 420,394.38, 580,156.56 and 229,420.08 is: 316,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,394.38 : 580,156.56 = 229,420.08 : x
  2. Step 2: Convert to fraction form
    420,394.38/580,156.56 = 229,420.08/x
  3. Step 3: Cross multiply
    420,394.38x = 580,156.56 × 229,420.08
  4. Step 4: Simplify right side
    420,394.38x = 133,099,564,407.73
  5. Step 5: Solve for x
    x = 133,099,564,407.73/420,394.38
  6. Step 6: Final answer
    x = 316,606.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.