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Finding the Fourth Proportional to 416,422.35, 574,662.20 and 225,435.69

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Solution

The fourth proportional to 416,422.35, 574,662.20 and 225,435.69 is: 311,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422.35 : 574,662.20 = 225,435.69 : x
  2. Step 2: Convert to fraction form
    416,422.35/574,662.20 = 225,435.69/x
  3. Step 3: Cross multiply
    416,422.35x = 574,662.20 × 225,435.69
  4. Step 4: Simplify right side
    416,422.35x = 129,549,368,446.74
  5. Step 5: Solve for x
    x = 129,549,368,446.74/416,422.35
  6. Step 6: Final answer
    x = 311,100.90

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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.