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Finding the Fourth Proportional to 416,410.12, 574,645.84 and 225,423.37

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Solution

The fourth proportional to 416,410.12, 574,645.84 and 225,423.37 is: 311,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.12 : 574,645.84 = 225,423.37 : x
  2. Step 2: Convert to fraction form
    416,410.12/574,645.84 = 225,423.37/x
  3. Step 3: Cross multiply
    416,410.12x = 574,645.84 × 225,423.37
  4. Step 4: Simplify right side
    416,410.12x = 129,538,601,809.28
  5. Step 5: Solve for x
    x = 129,538,601,809.28/416,410.12
  6. Step 6: Final answer
    x = 311,084.18

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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.