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Finding the Fourth Proportional to 416,076.30, 574,183.35 and 225,088.02

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Solution

The fourth proportional to 416,076.30, 574,183.35 and 225,088.02 is: 310,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,076.30 : 574,183.35 = 225,088.02 : x
  2. Step 2: Convert to fraction form
    416,076.30/574,183.35 = 225,088.02/x
  3. Step 3: Cross multiply
    416,076.30x = 574,183.35 × 225,088.02
  4. Step 4: Simplify right side
    416,076.30x = 129,241,793,368.47
  5. Step 5: Solve for x
    x = 129,241,793,368.47/416,076.30
  6. Step 6: Final answer
    x = 310,620.42

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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.