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Finding the Fourth Proportional to 420,387.90, 580,147.64 and 229,413.61

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Solution

The fourth proportional to 420,387.90, 580,147.64 and 229,413.61 is: 316,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,387.90 : 580,147.64 = 229,413.61 : x
  2. Step 2: Convert to fraction form
    420,387.90/580,147.64 = 229,413.61/x
  3. Step 3: Cross multiply
    420,387.90x = 580,147.64 × 229,413.61
  4. Step 4: Simplify right side
    420,387.90x = 133,093,764,425.38
  5. Step 5: Solve for x
    x = 133,093,764,425.38/420,387.90
  6. Step 6: Final answer
    x = 316,597.51

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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.