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Finding the Fourth Proportional to 432,864.46, 649,296.70 and 117,321.37

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Solution

The fourth proportional to 432,864.46, 649,296.70 and 117,321.37 is: 175,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,864.46 : 649,296.70 = 117,321.37 : x
  2. Step 2: Convert to fraction form
    432,864.46/649,296.70 = 117,321.37/x
  3. Step 3: Cross multiply
    432,864.46x = 649,296.70 × 117,321.37
  4. Step 4: Simplify right side
    432,864.46x = 76,176,376,463.93
  5. Step 5: Solve for x
    x = 76,176,376,463.93/432,864.46
  6. Step 6: Final answer
    x = 175,982.05

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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.