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Finding the Fourth Proportional to 397,052.55, 595,592.82 and 127,188.90

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Solution

The fourth proportional to 397,052.55, 595,592.82 and 127,188.90 is: 190,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,052.55 : 595,592.82 = 127,188.90 : x
  2. Step 2: Convert to fraction form
    397,052.55/595,592.82 = 127,188.90/x
  3. Step 3: Cross multiply
    397,052.55x = 595,592.82 × 127,188.90
  4. Step 4: Simplify right side
    397,052.55x = 75,752,795,623.70
  5. Step 5: Solve for x
    x = 75,752,795,623.70/397,052.55
  6. Step 6: Final answer
    x = 190,787.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.