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Finding the Fourth Proportional to 416,406.80, 574,634.58 and 225,418.52

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Solution

The fourth proportional to 416,406.80, 574,634.58 and 225,418.52 is: 311,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,406.80 : 574,634.58 = 225,418.52 : x
  2. Step 2: Convert to fraction form
    416,406.80/574,634.58 = 225,418.52/x
  3. Step 3: Cross multiply
    416,406.80x = 574,634.58 × 225,418.52
  4. Step 4: Simplify right side
    416,406.80x = 129,533,276,564.42
  5. Step 5: Solve for x
    x = 129,533,276,564.42/416,406.80
  6. Step 6: Final answer
    x = 311,073.87

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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.