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Finding the Fourth Proportional to 407,074.32, 561,764.52 and 225,773.64

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Solution

The fourth proportional to 407,074.32, 561,764.52 and 225,773.64 is: 311,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,074.32 : 561,764.52 = 225,773.64 : x
  2. Step 2: Convert to fraction form
    407,074.32/561,764.52 = 225,773.64/x
  3. Step 3: Cross multiply
    407,074.32x = 561,764.52 × 225,773.64
  4. Step 4: Simplify right side
    407,074.32x = 126,831,620,503.25
  5. Step 5: Solve for x
    x = 126,831,620,503.25/407,074.32
  6. Step 6: Final answer
    x = 311,568.71

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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.