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Finding the Fourth Proportional to 385,062.42, 577,470.78 and 132,281.96

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Solution

The fourth proportional to 385,062.42, 577,470.78 and 132,281.96 is: 198,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,062.42 : 577,470.78 = 132,281.96 : x
  2. Step 2: Convert to fraction form
    385,062.42/577,470.78 = 132,281.96/x
  3. Step 3: Cross multiply
    385,062.42x = 577,470.78 × 132,281.96
  4. Step 4: Simplify right side
    385,062.42x = 76,388,963,733.77
  5. Step 5: Solve for x
    x = 76,388,963,733.77/385,062.42
  6. Step 6: Final answer
    x = 198,380.73

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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.