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Finding the Fourth Proportional to 408,953.38, 613,334.67 and 156,141.04

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Solution

The fourth proportional to 408,953.38, 613,334.67 and 156,141.04 is: 234,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,953.38 : 613,334.67 = 156,141.04 : x
  2. Step 2: Convert to fraction form
    408,953.38/613,334.67 = 156,141.04/x
  3. Step 3: Cross multiply
    408,953.38x = 613,334.67 × 156,141.04
  4. Step 4: Simplify right side
    408,953.38x = 95,766,713,241.86
  5. Step 5: Solve for x
    x = 95,766,713,241.86/408,953.38
  6. Step 6: Final answer
    x = 234,175.14

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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.