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Finding the Fourth Proportional to 407,002.44, 561,663.37 and 225,742.13

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Solution

The fourth proportional to 407,002.44, 561,663.37 and 225,742.13 is: 311,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,002.44 : 561,663.37 = 225,742.13 : x
  2. Step 2: Convert to fraction form
    407,002.44/561,663.37 = 225,742.13/x
  3. Step 3: Cross multiply
    407,002.44x = 561,663.37 × 225,742.13
  4. Step 4: Simplify right side
    407,002.44x = 126,791,081,549.75
  5. Step 5: Solve for x
    x = 126,791,081,549.75/407,002.44
  6. Step 6: Final answer
    x = 311,524.13

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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.