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Finding the Fourth Proportional to 409,471.92, 614,061 and 156,823.44

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Solution

The fourth proportional to 409,471.92, 614,061 and 156,823.44 is: 235,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,471.92 : 614,061 = 156,823.44 : x
  2. Step 2: Convert to fraction form
    409,471.92/614,061 = 156,823.44/x
  3. Step 3: Cross multiply
    409,471.92x = 614,061 × 156,823.44
  4. Step 4: Simplify right side
    409,471.92x = 96,299,158,389.84
  5. Step 5: Solve for x
    x = 96,299,158,389.84/409,471.92
  6. Step 6: Final answer
    x = 235,178.91

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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.