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Finding the Fourth Proportional to 416,657.57, 574,988.37 and 225,671

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Solution

The fourth proportional to 416,657.57, 574,988.37 and 225,671 is: 311,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,657.57 : 574,988.37 = 225,671 : x
  2. Step 2: Convert to fraction form
    416,657.57/574,988.37 = 225,671/x
  3. Step 3: Cross multiply
    416,657.57x = 574,988.37 × 225,671
  4. Step 4: Simplify right side
    416,657.57x = 129,758,200,446.27
  5. Step 5: Solve for x
    x = 129,758,200,446.27/416,657.57
  6. Step 6: Final answer
    x = 311,426.48

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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.