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Finding the Fourth Proportional to 431,209.68, 590,759.39 and 415,048.38

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Solution

The fourth proportional to 431,209.68, 590,759.39 and 415,048.38 is: 568,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,209.68 : 590,759.39 = 415,048.38 : x
  2. Step 2: Convert to fraction form
    431,209.68/590,759.39 = 415,048.38/x
  3. Step 3: Cross multiply
    431,209.68x = 590,759.39 × 415,048.38
  4. Step 4: Simplify right side
    431,209.68x = 245,193,727,789.29
  5. Step 5: Solve for x
    x = 245,193,727,789.29/431,209.68
  6. Step 6: Final answer
    x = 568,618.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.