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Finding the Fourth Proportional to 385,077.40, 577,654.70 and 132,324.60

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Solution

The fourth proportional to 385,077.40, 577,654.70 and 132,324.60 is: 198,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,077.40 : 577,654.70 = 132,324.60 : x
  2. Step 2: Convert to fraction form
    385,077.40/577,654.70 = 132,324.60/x
  3. Step 3: Cross multiply
    385,077.40x = 577,654.70 × 132,324.60
  4. Step 4: Simplify right side
    385,077.40x = 76,437,927,115.62
  5. Step 5: Solve for x
    x = 76,437,927,115.62/385,077.40
  6. Step 6: Final answer
    x = 198,500.16

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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.