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Finding the Fourth Proportional to 597,891.38, 825,122.90 and 343,258.97

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Solution

The fourth proportional to 597,891.38, 825,122.90 and 343,258.97 is: 473,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,891.38 : 825,122.90 = 343,258.97 : x
  2. Step 2: Convert to fraction form
    597,891.38/825,122.90 = 343,258.97/x
  3. Step 3: Cross multiply
    597,891.38x = 825,122.90 × 343,258.97
  4. Step 4: Simplify right side
    597,891.38x = 283,230,833,509.95
  5. Step 5: Solve for x
    x = 283,230,833,509.95/597,891.38
  6. Step 6: Final answer
    x = 473,716.21

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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.