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Finding the Fourth Proportional to 474,449.96, 711,711.39 and 137,495.22

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Solution

The fourth proportional to 474,449.96, 711,711.39 and 137,495.22 is: 206,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,449.96 : 711,711.39 = 137,495.22 : x
  2. Step 2: Convert to fraction form
    474,449.96/711,711.39 = 137,495.22/x
  3. Step 3: Cross multiply
    474,449.96x = 711,711.39 × 137,495.22
  4. Step 4: Simplify right side
    474,449.96x = 97,856,914,144.56
  5. Step 5: Solve for x
    x = 97,856,914,144.56/474,449.96
  6. Step 6: Final answer
    x = 206,253.40

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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.