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Finding the Fourth Proportional to 407,012.74, 561,640.48 and 225,724.12

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Solution

The fourth proportional to 407,012.74, 561,640.48 and 225,724.12 is: 311,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,012.74 : 561,640.48 = 225,724.12 : x
  2. Step 2: Convert to fraction form
    407,012.74/561,640.48 = 225,724.12/x
  3. Step 3: Cross multiply
    407,012.74x = 561,640.48 × 225,724.12
  4. Step 4: Simplify right side
    407,012.74x = 126,775,803,104.38
  5. Step 5: Solve for x
    x = 126,775,803,104.38/407,012.74
  6. Step 6: Final answer
    x = 311,478.71

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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.