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Finding the Fourth Proportional to 409,344.81, 614,017.23 and 125,023.87

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Solution

The fourth proportional to 409,344.81, 614,017.23 and 125,023.87 is: 187,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,344.81 : 614,017.23 = 125,023.87 : x
  2. Step 2: Convert to fraction form
    409,344.81/614,017.23 = 125,023.87/x
  3. Step 3: Cross multiply
    409,344.81x = 614,017.23 × 125,023.87
  4. Step 4: Simplify right side
    409,344.81x = 76,766,810,341.28
  5. Step 5: Solve for x
    x = 76,766,810,341.28/409,344.81
  6. Step 6: Final answer
    x = 187,535.81

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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.