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Finding the Fourth Proportional to 653,902.56, 980,866.20 and 180,600.52

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Solution

The fourth proportional to 653,902.56, 980,866.20 and 180,600.52 is: 270,904.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,902.56 : 980,866.20 = 180,600.52 : x
  2. Step 2: Convert to fraction form
    653,902.56/980,866.20 = 180,600.52/x
  3. Step 3: Cross multiply
    653,902.56x = 980,866.20 × 180,600.52
  4. Step 4: Simplify right side
    653,902.56x = 177,144,945,770.42
  5. Step 5: Solve for x
    x = 177,144,945,770.42/653,902.56
  6. Step 6: Final answer
    x = 270,904.19

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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.