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Finding the Fourth Proportional to 491,449.13, 677,939.68 and 338,221.30

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Solution

The fourth proportional to 491,449.13, 677,939.68 and 338,221.30 is: 466,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,449.13 : 677,939.68 = 338,221.30 : x
  2. Step 2: Convert to fraction form
    491,449.13/677,939.68 = 338,221.30/x
  3. Step 3: Cross multiply
    491,449.13x = 677,939.68 × 338,221.30
  4. Step 4: Simplify right side
    491,449.13x = 229,293,639,041.89
  5. Step 5: Solve for x
    x = 229,293,639,041.89/491,449.13
  6. Step 6: Final answer
    x = 466,566.38

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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.