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Finding the Fourth Proportional to 409,647.78, 614,049.45 and 156,859.20

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Solution

The fourth proportional to 409,647.78, 614,049.45 and 156,859.20 is: 235,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,647.78 : 614,049.45 = 156,859.20 : x
  2. Step 2: Convert to fraction form
    409,647.78/614,049.45 = 156,859.20/x
  3. Step 3: Cross multiply
    409,647.78x = 614,049.45 × 156,859.20
  4. Step 4: Simplify right side
    409,647.78x = 96,319,305,487.44
  5. Step 5: Solve for x
    x = 96,319,305,487.44/409,647.78
  6. Step 6: Final answer
    x = 235,127.13

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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.