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Finding the Fourth Proportional to 409,874.34, 614,741.99 and 110,288.15

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Solution

The fourth proportional to 409,874.34, 614,741.99 and 110,288.15 is: 165,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,874.34 : 614,741.99 = 110,288.15 : x
  2. Step 2: Convert to fraction form
    409,874.34/614,741.99 = 110,288.15/x
  3. Step 3: Cross multiply
    409,874.34x = 614,741.99 × 110,288.15
  4. Step 4: Simplify right side
    409,874.34x = 67,798,753,179.27
  5. Step 5: Solve for x
    x = 67,798,753,179.27/409,874.34
  6. Step 6: Final answer
    x = 165,413.51

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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.