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Finding the Fourth Proportional to 409,630.86, 614,033.13 and 169,413.18

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Solution

The fourth proportional to 409,630.86, 614,033.13 and 169,413.18 is: 253,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,630.86 : 614,033.13 = 169,413.18 : x
  2. Step 2: Convert to fraction form
    409,630.86/614,033.13 = 169,413.18/x
  3. Step 3: Cross multiply
    409,630.86x = 614,033.13 × 169,413.18
  4. Step 4: Simplify right side
    409,630.86x = 104,025,305,178.65
  5. Step 5: Solve for x
    x = 104,025,305,178.65/409,630.86
  6. Step 6: Final answer
    x = 253,948.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.