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Finding the Fourth Proportional to 310,657.25, 465,238.49 and 177,132.71

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Solution

The fourth proportional to 310,657.25, 465,238.49 and 177,132.71 is: 265,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,657.25 : 465,238.49 = 177,132.71 : x
  2. Step 2: Convert to fraction form
    310,657.25/465,238.49 = 177,132.71/x
  3. Step 3: Cross multiply
    310,657.25x = 465,238.49 × 177,132.71
  4. Step 4: Simplify right side
    310,657.25x = 82,408,951,318.15
  5. Step 5: Solve for x
    x = 82,408,951,318.15/310,657.25
  6. Step 6: Final answer
    x = 265,272.91

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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.