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Finding the Fourth Proportional to 416,396.92, 574,623.84 and 225,405.40

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Solution

The fourth proportional to 416,396.92, 574,623.84 and 225,405.40 is: 311,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396.92 : 574,623.84 = 225,405.40 : x
  2. Step 2: Convert to fraction form
    416,396.92/574,623.84 = 225,405.40/x
  3. Step 3: Cross multiply
    416,396.92x = 574,623.84 × 225,405.40
  4. Step 4: Simplify right side
    416,396.92x = 129,523,316,504.74
  5. Step 5: Solve for x
    x = 129,523,316,504.74/416,396.92
  6. Step 6: Final answer
    x = 311,057.34

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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.