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Finding the Fourth Proportional to 416,408.28, 574,638.66 and 225,417.48

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Solution

The fourth proportional to 416,408.28, 574,638.66 and 225,417.48 is: 311,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.28 : 574,638.66 = 225,417.48 : x
  2. Step 2: Convert to fraction form
    416,408.28/574,638.66 = 225,417.48/x
  3. Step 3: Cross multiply
    416,408.28x = 574,638.66 × 225,417.48
  4. Step 4: Simplify right side
    416,408.28x = 129,533,598,647.78
  5. Step 5: Solve for x
    x = 129,533,598,647.78/416,408.28
  6. Step 6: Final answer
    x = 311,073.54

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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.