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Finding the Fourth Proportional to 409,586.20, 613,982.32 and 156,671.93

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Solution

The fourth proportional to 409,586.20, 613,982.32 and 156,671.93 is: 234,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,586.20 : 613,982.32 = 156,671.93 : x
  2. Step 2: Convert to fraction form
    409,586.20/613,982.32 = 156,671.93/x
  3. Step 3: Cross multiply
    409,586.20x = 613,982.32 × 156,671.93
  4. Step 4: Simplify right side
    409,586.20x = 96,193,795,060.28
  5. Step 5: Solve for x
    x = 96,193,795,060.28/409,586.20
  6. Step 6: Final answer
    x = 234,856.05

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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.