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Finding the Fourth Proportional to 416,419.16, 574,658.63 and 225,432.56

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Solution

The fourth proportional to 416,419.16, 574,658.63 and 225,432.56 is: 311,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419.16 : 574,658.63 = 225,432.56 : x
  2. Step 2: Convert to fraction form
    416,419.16/574,658.63 = 225,432.56/x
  3. Step 3: Cross multiply
    416,419.16x = 574,658.63 × 225,432.56
  4. Step 4: Simplify right side
    416,419.16x = 129,546,762,086.54
  5. Step 5: Solve for x
    x = 129,546,762,086.54/416,419.16
  6. Step 6: Final answer
    x = 311,097.03

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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.