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Finding the Fourth Proportional to 385,308.80, 577,963.20 and 135,958.40

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Solution

The fourth proportional to 385,308.80, 577,963.20 and 135,958.40 is: 203,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,308.80 : 577,963.20 = 135,958.40 : x
  2. Step 2: Convert to fraction form
    385,308.80/577,963.20 = 135,958.40/x
  3. Step 3: Cross multiply
    385,308.80x = 577,963.20 × 135,958.40
  4. Step 4: Simplify right side
    385,308.80x = 78,578,951,930.88
  5. Step 5: Solve for x
    x = 78,578,951,930.88/385,308.80
  6. Step 6: Final answer
    x = 203,937.60

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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.