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Finding the Fourth Proportional to 378,344.61, 567,369.27 and 165,177.72

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Solution

The fourth proportional to 378,344.61, 567,369.27 and 165,177.72 is: 247,702.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,344.61 : 567,369.27 = 165,177.72 : x
  2. Step 2: Convert to fraction form
    378,344.61/567,369.27 = 165,177.72/x
  3. Step 3: Cross multiply
    378,344.61x = 567,369.27 × 165,177.72
  4. Step 4: Simplify right side
    378,344.61x = 93,716,762,416.66
  5. Step 5: Solve for x
    x = 93,716,762,416.66/378,344.61
  6. Step 6: Final answer
    x = 247,702.12

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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.