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Finding the Fourth Proportional to 538,511.95, 743,116.17 and 296,793.78

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Solution

The fourth proportional to 538,511.95, 743,116.17 and 296,793.78 is: 409,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,511.95 : 743,116.17 = 296,793.78 : x
  2. Step 2: Convert to fraction form
    538,511.95/743,116.17 = 296,793.78/x
  3. Step 3: Cross multiply
    538,511.95x = 743,116.17 × 296,793.78
  4. Step 4: Simplify right side
    538,511.95x = 220,552,257,073.42
  5. Step 5: Solve for x
    x = 220,552,257,073.42/538,511.95
  6. Step 6: Final answer
    x = 409,558.71

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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.