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Finding the Fourth Proportional to 392,140.54, 541,153.90 and 222,374.66

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Solution

The fourth proportional to 392,140.54, 541,153.90 and 222,374.66 is: 306,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,140.54 : 541,153.90 = 222,374.66 : x
  2. Step 2: Convert to fraction form
    392,140.54/541,153.90 = 222,374.66/x
  3. Step 3: Cross multiply
    392,140.54x = 541,153.90 × 222,374.66
  4. Step 4: Simplify right side
    392,140.54x = 120,338,913,408.30
  5. Step 5: Solve for x
    x = 120,338,913,408.30/392,140.54
  6. Step 6: Final answer
    x = 306,877.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.