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Finding the Fourth Proportional to 307,504.08, 461,221.83 and 82,886.90

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Solution

The fourth proportional to 307,504.08, 461,221.83 and 82,886.90 is: 124,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,504.08 : 461,221.83 = 82,886.90 : x
  2. Step 2: Convert to fraction form
    307,504.08/461,221.83 = 82,886.90/x
  3. Step 3: Cross multiply
    307,504.08x = 461,221.83 × 82,886.90
  4. Step 4: Simplify right side
    307,504.08x = 38,229,245,394.92
  5. Step 5: Solve for x
    x = 38,229,245,394.92/307,504.08
  6. Step 6: Final answer
    x = 124,321.10

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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.