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Finding the Fourth Proportional to 416,013.57, 574,098.84 and 234,763.92

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Solution

The fourth proportional to 416,013.57, 574,098.84 and 234,763.92 is: 323,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,013.57 : 574,098.84 = 234,763.92 : x
  2. Step 2: Convert to fraction form
    416,013.57/574,098.84 = 234,763.92/x
  3. Step 3: Cross multiply
    416,013.57x = 574,098.84 × 234,763.92
  4. Step 4: Simplify right side
    416,013.57x = 134,777,694,145.85
  5. Step 5: Solve for x
    x = 134,777,694,145.85/416,013.57
  6. Step 6: Final answer
    x = 323,974.27

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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.