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Finding the Fourth Proportional to 407,193.89, 561,864.20 and 232,761.60

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Solution

The fourth proportional to 407,193.89, 561,864.20 and 232,761.60 is: 321,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,193.89 : 561,864.20 = 232,761.60 : x
  2. Step 2: Convert to fraction form
    407,193.89/561,864.20 = 232,761.60/x
  3. Step 3: Cross multiply
    407,193.89x = 561,864.20 × 232,761.60
  4. Step 4: Simplify right side
    407,193.89x = 130,780,409,010.91
  5. Step 5: Solve for x
    x = 130,780,409,010.91/407,193.89
  6. Step 6: Final answer
    x = 321,174.79

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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.