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Finding the Fourth Proportional to 409,122.31, 613,723.11 and 139,440.61

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Solution

The fourth proportional to 409,122.31, 613,723.11 and 139,440.61 is: 209,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,122.31 : 613,723.11 = 139,440.61 : x
  2. Step 2: Convert to fraction form
    409,122.31/613,723.11 = 139,440.61/x
  3. Step 3: Cross multiply
    409,122.31x = 613,723.11 × 139,440.61
  4. Step 4: Simplify right side
    409,122.31x = 85,577,924,829.50
  5. Step 5: Solve for x
    x = 85,577,924,829.50/409,122.31
  6. Step 6: Final answer
    x = 209,174.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.