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Finding the Fourth Proportional to 416,353.50, 574,568.10 and 225,368.46

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Solution

The fourth proportional to 416,353.50, 574,568.10 and 225,368.46 is: 311,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,353.50 : 574,568.10 = 225,368.46 : x
  2. Step 2: Convert to fraction form
    416,353.50/574,568.10 = 225,368.46/x
  3. Step 3: Cross multiply
    416,353.50x = 574,568.10 × 225,368.46
  4. Step 4: Simplify right side
    416,353.50x = 129,489,527,862.13
  5. Step 5: Solve for x
    x = 129,489,527,862.13/416,353.50
  6. Step 6: Final answer
    x = 311,008.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.