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Finding the Fourth Proportional to 409,545.31, 614,276.44 and 109,986.96

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Solution

The fourth proportional to 409,545.31, 614,276.44 and 109,986.96 is: 164,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,545.31 : 614,276.44 = 109,986.96 : x
  2. Step 2: Convert to fraction form
    409,545.31/614,276.44 = 109,986.96/x
  3. Step 3: Cross multiply
    409,545.31x = 614,276.44 × 109,986.96
  4. Step 4: Simplify right side
    409,545.31x = 67,562,400,882.47
  5. Step 5: Solve for x
    x = 67,562,400,882.47/409,545.31
  6. Step 6: Final answer
    x = 164,969.29

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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.