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Finding the Fourth Proportional to 407,123.42, 561,839.34 and 225,829.46

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Solution

The fourth proportional to 407,123.42, 561,839.34 and 225,829.46 is: 311,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,123.42 : 561,839.34 = 225,829.46 : x
  2. Step 2: Convert to fraction form
    407,123.42/561,839.34 = 225,829.46/x
  3. Step 3: Cross multiply
    407,123.42x = 561,839.34 × 225,829.46
  4. Step 4: Simplify right side
    407,123.42x = 126,879,874,758.96
  5. Step 5: Solve for x
    x = 126,879,874,758.96/407,123.42
  6. Step 6: Final answer
    x = 311,649.66

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