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Finding the Fourth Proportional to 409,521.92, 614,136 and 156,873.44

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Solution

The fourth proportional to 409,521.92, 614,136 and 156,873.44 is: 235,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,521.92 : 614,136 = 156,873.44 : x
  2. Step 2: Convert to fraction form
    409,521.92/614,136 = 156,873.44/x
  3. Step 3: Cross multiply
    409,521.92x = 614,136 × 156,873.44
  4. Step 4: Simplify right side
    409,521.92x = 96,341,626,947.84
  5. Step 5: Solve for x
    x = 96,341,626,947.84/409,521.92
  6. Step 6: Final answer
    x = 235,253.90

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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.