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Finding the Fourth Proportional to 416,638.08, 574,960.38 and 225,651.48

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Solution

The fourth proportional to 416,638.08, 574,960.38 and 225,651.48 is: 311,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,638.08 : 574,960.38 = 225,651.48 : x
  2. Step 2: Convert to fraction form
    416,638.08/574,960.38 = 225,651.48/x
  3. Step 3: Cross multiply
    416,638.08x = 574,960.38 × 225,651.48
  4. Step 4: Simplify right side
    416,638.08x = 129,740,660,688.36
  5. Step 5: Solve for x
    x = 129,740,660,688.36/416,638.08
  6. Step 6: Final answer
    x = 311,398.95

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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.