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Finding the Fourth Proportional to 407,042.34, 561,651.15 and 225,725.46

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Solution

The fourth proportional to 407,042.34, 561,651.15 and 225,725.46 is: 311,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,042.34 : 561,651.15 = 225,725.46 : x
  2. Step 2: Convert to fraction form
    407,042.34/561,651.15 = 225,725.46/x
  3. Step 3: Cross multiply
    407,042.34x = 561,651.15 × 225,725.46
  4. Step 4: Simplify right side
    407,042.34x = 126,778,964,193.28
  5. Step 5: Solve for x
    x = 126,778,964,193.28/407,042.34
  6. Step 6: Final answer
    x = 311,463.83

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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.