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Finding the Fourth Proportional to 432,994.20, 649,414.75 and 117,475.71

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Solution

The fourth proportional to 432,994.20, 649,414.75 and 117,475.71 is: 176,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,994.20 : 649,414.75 = 117,475.71 : x
  2. Step 2: Convert to fraction form
    432,994.20/649,414.75 = 117,475.71/x
  3. Step 3: Cross multiply
    432,994.20x = 649,414.75 × 117,475.71
  4. Step 4: Simplify right side
    432,994.20x = 76,290,458,840.72
  5. Step 5: Solve for x
    x = 76,290,458,840.72/432,994.20
  6. Step 6: Final answer
    x = 176,192.80

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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.