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Finding the Fourth Proportional to 416,404.02, 574,638.80 and 225,416.96

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Solution

The fourth proportional to 416,404.02, 574,638.80 and 225,416.96 is: 311,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,404.02 : 574,638.80 = 225,416.96 : x
  2. Step 2: Convert to fraction form
    416,404.02/574,638.80 = 225,416.96/x
  3. Step 3: Cross multiply
    416,404.02x = 574,638.80 × 225,416.96
  4. Step 4: Simplify right side
    416,404.02x = 129,533,331,394.05
  5. Step 5: Solve for x
    x = 129,533,331,394.05/416,404.02
  6. Step 6: Final answer
    x = 311,076.08

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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.