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Finding the Fourth Proportional to 416,422.72, 574,667.94 and 225,440.20

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Solution

The fourth proportional to 416,422.72, 574,667.94 and 225,440.20 is: 311,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.72 : 574,667.94 = 225,440.20 : x
  2. Step 2: Convert to fraction form
    416,422.72/574,667.94 = 225,440.20/x
  3. Step 3: Cross multiply
    416,422.72x = 574,667.94 × 225,440.20
  4. Step 4: Simplify right side
    416,422.72x = 129,553,255,327.19
  5. Step 5: Solve for x
    x = 129,553,255,327.19/416,422.72
  6. Step 6: Final answer
    x = 311,109.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.