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Finding the Fourth Proportional to 332,117.24, 458,331.90 and 188,897.90

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Solution

The fourth proportional to 332,117.24, 458,331.90 and 188,897.90 is: 260,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,117.24 : 458,331.90 = 188,897.90 : x
  2. Step 2: Convert to fraction form
    332,117.24/458,331.90 = 188,897.90/x
  3. Step 3: Cross multiply
    332,117.24x = 458,331.90 × 188,897.90
  4. Step 4: Simplify right side
    332,117.24x = 86,577,933,413.01
  5. Step 5: Solve for x
    x = 86,577,933,413.01/332,117.24
  6. Step 6: Final answer
    x = 260,684.85

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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.