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Finding the Fourth Proportional to 397,100.85, 595,897.52 and 160,445.58

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Solution

The fourth proportional to 397,100.85, 595,897.52 and 160,445.58 is: 240,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,100.85 : 595,897.52 = 160,445.58 : x
  2. Step 2: Convert to fraction form
    397,100.85/595,897.52 = 160,445.58/x
  3. Step 3: Cross multiply
    397,100.85x = 595,897.52 × 160,445.58
  4. Step 4: Simplify right side
    397,100.85x = 95,609,122,414.73
  5. Step 5: Solve for x
    x = 95,609,122,414.73/397,100.85
  6. Step 6: Final answer
    x = 240,767.86

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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.