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Finding the Fourth Proportional to 416,620.56, 574,895.28 and 232,825.20

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Solution

The fourth proportional to 416,620.56, 574,895.28 and 232,825.20 is: 321,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,620.56 : 574,895.28 = 232,825.20 : x
  2. Step 2: Convert to fraction form
    416,620.56/574,895.28 = 232,825.20/x
  3. Step 3: Cross multiply
    416,620.56x = 574,895.28 × 232,825.20
  4. Step 4: Simplify right side
    416,620.56x = 133,850,108,545.06
  5. Step 5: Solve for x
    x = 133,850,108,545.06/416,620.56
  6. Step 6: Final answer
    x = 321,275.81

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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.