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Finding the Fourth Proportional to 407,096.38, 561,860.22 and 225,866.62

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Solution

The fourth proportional to 407,096.38, 561,860.22 and 225,866.62 is: 311,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,096.38 : 561,860.22 = 225,866.62 : x
  2. Step 2: Convert to fraction form
    407,096.38/561,860.22 = 225,866.62/x
  3. Step 3: Cross multiply
    407,096.38x = 561,860.22 × 225,866.62
  4. Step 4: Simplify right side
    407,096.38x = 126,905,468,803.86
  5. Step 5: Solve for x
    x = 126,905,468,803.86/407,096.38
  6. Step 6: Final answer
    x = 311,733.23

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Double scale
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1.5x scale

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.