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Finding the Fourth Proportional to 416,408.92, 574,646.15 and 225,422.30

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Solution

The fourth proportional to 416,408.92, 574,646.15 and 225,422.30 is: 311,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.92 : 574,646.15 = 225,422.30 : x
  2. Step 2: Convert to fraction form
    416,408.92/574,646.15 = 225,422.30/x
  3. Step 3: Cross multiply
    416,408.92x = 574,646.15 × 225,422.30
  4. Step 4: Simplify right side
    416,408.92x = 129,538,056,819.15
  5. Step 5: Solve for x
    x = 129,538,056,819.15/416,408.92
  6. Step 6: Final answer
    x = 311,083.77

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1.5x scale

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.