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Finding the Fourth Proportional to 512,604.33, 707,251.93 and 294,801.13

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Solution

The fourth proportional to 512,604.33, 707,251.93 and 294,801.13 is: 406,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,604.33 : 707,251.93 = 294,801.13 : x
  2. Step 2: Convert to fraction form
    512,604.33/707,251.93 = 294,801.13/x
  3. Step 3: Cross multiply
    512,604.33x = 707,251.93 × 294,801.13
  4. Step 4: Simplify right side
    512,604.33x = 208,498,668,158.68
  5. Step 5: Solve for x
    x = 208,498,668,158.68/512,604.33
  6. Step 6: Final answer
    x = 406,743.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.