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Finding the Fourth Proportional to 597,900.38, 825,135.35 and 343,267.97

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Solution

The fourth proportional to 597,900.38, 825,135.35 and 343,267.97 is: 473,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,900.38 : 825,135.35 = 343,267.97 : x
  2. Step 2: Convert to fraction form
    597,900.38/825,135.35 = 343,267.97/x
  3. Step 3: Cross multiply
    597,900.38x = 825,135.35 × 343,267.97
  4. Step 4: Simplify right side
    597,900.38x = 283,242,530,727.72
  5. Step 5: Solve for x
    x = 283,242,530,727.72/597,900.38
  6. Step 6: Final answer
    x = 473,728.64

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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.