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Finding the Fourth Proportional to 378,713.67, 567,670.15 and 165,294.46

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Solution

The fourth proportional to 378,713.67, 567,670.15 and 165,294.46 is: 247,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,713.67 : 567,670.15 = 165,294.46 : x
  2. Step 2: Convert to fraction form
    378,713.67/567,670.15 = 165,294.46/x
  3. Step 3: Cross multiply
    378,713.67x = 567,670.15 × 165,294.46
  4. Step 4: Simplify right side
    378,713.67x = 93,832,730,902.37
  5. Step 5: Solve for x
    x = 93,832,730,902.37/378,713.67
  6. Step 6: Final answer
    x = 247,766.95

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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.