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Finding the Fourth Proportional to 409,393.57, 614,183.82 and 125,124.58

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Solution

The fourth proportional to 409,393.57, 614,183.82 and 125,124.58 is: 187,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,393.57 : 614,183.82 = 125,124.58 : x
  2. Step 2: Convert to fraction form
    409,393.57/614,183.82 = 125,124.58/x
  3. Step 3: Cross multiply
    409,393.57x = 614,183.82 × 125,124.58
  4. Step 4: Simplify right side
    409,393.57x = 76,849,492,520.30
  5. Step 5: Solve for x
    x = 76,849,492,520.30/409,393.57
  6. Step 6: Final answer
    x = 187,715.44

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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.