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Finding the Fourth Proportional to 469,292.82, 703,902.51 and 132,319.86

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Solution

The fourth proportional to 469,292.82, 703,902.51 and 132,319.86 is: 198,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,292.82 : 703,902.51 = 132,319.86 : x
  2. Step 2: Convert to fraction form
    469,292.82/703,902.51 = 132,319.86/x
  3. Step 3: Cross multiply
    469,292.82x = 703,902.51 × 132,319.86
  4. Step 4: Simplify right side
    469,292.82x = 93,140,281,576.85
  5. Step 5: Solve for x
    x = 93,140,281,576.85/469,292.82
  6. Step 6: Final answer
    x = 198,469.44

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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.