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Finding the Fourth Proportional to 435,765.62, 653,686.10 and 120,222.53

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Solution

The fourth proportional to 435,765.62, 653,686.10 and 120,222.53 is: 180,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,765.62 : 653,686.10 = 120,222.53 : x
  2. Step 2: Convert to fraction form
    435,765.62/653,686.10 = 120,222.53/x
  3. Step 3: Cross multiply
    435,765.62x = 653,686.10 × 120,222.53
  4. Step 4: Simplify right side
    435,765.62x = 78,587,795,800.45
  5. Step 5: Solve for x
    x = 78,587,795,800.45/435,765.62
  6. Step 6: Final answer
    x = 180,344.18

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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.