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Finding the Fourth Proportional to 416,239.78, 574,414.94 and 225,257.14

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Solution

The fourth proportional to 416,239.78, 574,414.94 and 225,257.14 is: 310,857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,239.78 : 574,414.94 = 225,257.14 : x
  2. Step 2: Convert to fraction form
    416,239.78/574,414.94 = 225,257.14/x
  3. Step 3: Cross multiply
    416,239.78x = 574,414.94 × 225,257.14
  4. Step 4: Simplify right side
    416,239.78x = 129,391,066,557.67
  5. Step 5: Solve for x
    x = 129,391,066,557.67/416,239.78
  6. Step 6: Final answer
    x = 310,857.04

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1.5x scale

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.