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Finding the Fourth Proportional to 432,902.58, 649,353.84 and 117,351.28

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Solution

The fourth proportional to 432,902.58, 649,353.84 and 117,351.28 is: 176,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,902.58 : 649,353.84 = 117,351.28 : x
  2. Step 2: Convert to fraction form
    432,902.58/649,353.84 = 117,351.28/x
  3. Step 3: Cross multiply
    432,902.58x = 649,353.84 × 117,351.28
  4. Step 4: Simplify right side
    432,902.58x = 76,202,504,296.92
  5. Step 5: Solve for x
    x = 76,202,504,296.92/432,902.58
  6. Step 6: Final answer
    x = 176,026.91

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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.