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Finding the Fourth Proportional to 416,204.48, 574,361.28 and 225,217.80

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Solution

The fourth proportional to 416,204.48, 574,361.28 and 225,217.80 is: 310,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,204.48 : 574,361.28 = 225,217.80 : x
  2. Step 2: Convert to fraction form
    416,204.48/574,361.28 = 225,217.80/x
  3. Step 3: Cross multiply
    416,204.48x = 574,361.28 × 225,217.80
  4. Step 4: Simplify right side
    416,204.48x = 129,356,383,886.78
  5. Step 5: Solve for x
    x = 129,356,383,886.78/416,204.48
  6. Step 6: Final answer
    x = 310,800.08

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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.