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Finding the Fourth Proportional to 435,940.20, 653,922.67 and 120,397.10

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Solution

The fourth proportional to 435,940.20, 653,922.67 and 120,397.10 is: 180,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,940.20 : 653,922.67 = 120,397.10 : x
  2. Step 2: Convert to fraction form
    435,940.20/653,922.67 = 120,397.10/x
  3. Step 3: Cross multiply
    435,940.20x = 653,922.67 × 120,397.10
  4. Step 4: Simplify right side
    435,940.20x = 78,730,393,092.26
  5. Step 5: Solve for x
    x = 78,730,393,092.26/435,940.20
  6. Step 6: Final answer
    x = 180,599.07

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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.