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Finding the Fourth Proportional to 409,753.24, 614,622.54 and 156,965.20

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Solution

The fourth proportional to 409,753.24, 614,622.54 and 156,965.20 is: 235,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,753.24 : 614,622.54 = 156,965.20 : x
  2. Step 2: Convert to fraction form
    409,753.24/614,622.54 = 156,965.20/x
  3. Step 3: Cross multiply
    409,753.24x = 614,622.54 × 156,965.20
  4. Step 4: Simplify right side
    409,753.24x = 96,474,349,915.61
  5. Step 5: Solve for x
    x = 96,474,349,915.61/409,753.24
  6. Step 6: Final answer
    x = 235,445.00

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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.