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Finding the Fourth Proportional to 474,531.56, 711,650.87 and 137,597.05

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Solution

The fourth proportional to 474,531.56, 711,650.87 and 137,597.05 is: 206,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,531.56 : 711,650.87 = 137,597.05 : x
  2. Step 2: Convert to fraction form
    474,531.56/711,650.87 = 137,597.05/x
  3. Step 3: Cross multiply
    474,531.56x = 711,650.87 × 137,597.05
  4. Step 4: Simplify right side
    474,531.56x = 97,921,061,059.50
  5. Step 5: Solve for x
    x = 97,921,061,059.50/474,531.56
  6. Step 6: Final answer
    x = 206,353.11

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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.