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Finding the Fourth Proportional to 504,761.25, 756,978.10 and 167,711.40

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Solution

The fourth proportional to 504,761.25, 756,978.10 and 167,711.40 is: 251,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,761.25 : 756,978.10 = 167,711.40 : x
  2. Step 2: Convert to fraction form
    504,761.25/756,978.10 = 167,711.40/x
  3. Step 3: Cross multiply
    504,761.25x = 756,978.10 × 167,711.40
  4. Step 4: Simplify right side
    504,761.25x = 126,953,856,920.34
  5. Step 5: Solve for x
    x = 126,953,856,920.34/504,761.25
  6. Step 6: Final answer
    x = 251,512.68

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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.