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Finding the Fourth Proportional to 406,761.84, 561,324.24 and 225,473.04

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Solution

The fourth proportional to 406,761.84, 561,324.24 and 225,473.04 is: 311,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,761.84 : 561,324.24 = 225,473.04 : x
  2. Step 2: Convert to fraction form
    406,761.84/561,324.24 = 225,473.04/x
  3. Step 3: Cross multiply
    406,761.84x = 561,324.24 × 225,473.04
  4. Step 4: Simplify right side
    406,761.84x = 126,563,482,818.49
  5. Step 5: Solve for x
    x = 126,563,482,818.49/406,761.84
  6. Step 6: Final answer
    x = 311,148.86

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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.