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Finding the Fourth Proportional to 416,119.38, 574,244.55 and 234,869.33

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Solution

The fourth proportional to 416,119.38, 574,244.55 and 234,869.33 is: 324,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,119.38 : 574,244.55 = 234,869.33 : x
  2. Step 2: Convert to fraction form
    416,119.38/574,244.55 = 234,869.33/x
  3. Step 3: Cross multiply
    416,119.38x = 574,244.55 × 234,869.33
  4. Step 4: Simplify right side
    416,119.38x = 134,872,429,843.43
  5. Step 5: Solve for x
    x = 134,872,429,843.43/416,119.38
  6. Step 6: Final answer
    x = 324,119.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.