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Finding the Fourth Proportional to 410,041.92, 614,992.77 and 110,452.44

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Solution

The fourth proportional to 410,041.92, 614,992.77 and 110,452.44 is: 165,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,041.92 : 614,992.77 = 110,452.44 : x
  2. Step 2: Convert to fraction form
    410,041.92/614,992.77 = 110,452.44/x
  3. Step 3: Cross multiply
    410,041.92x = 614,992.77 × 110,452.44
  4. Step 4: Simplify right side
    410,041.92x = 67,927,454,335.08
  5. Step 5: Solve for x
    x = 67,927,454,335.08/410,041.92
  6. Step 6: Final answer
    x = 165,659.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.