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Finding the Fourth Proportional to 409,545.38, 614,276.55 and 109,987.04

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Solution

The fourth proportional to 409,545.38, 614,276.55 and 109,987.04 is: 164,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,545.38 : 614,276.55 = 109,987.04 : x
  2. Step 2: Convert to fraction form
    409,545.38/614,276.55 = 109,987.04/x
  3. Step 3: Cross multiply
    409,545.38x = 614,276.55 × 109,987.04
  4. Step 4: Simplify right side
    409,545.38x = 67,562,459,129.28
  5. Step 5: Solve for x
    x = 67,562,459,129.28/409,545.38
  6. Step 6: Final answer
    x = 164,969.41

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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.