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Finding the Fourth Proportional to 417,310.38, 576,111.60 and 326,473.38

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Solution

The fourth proportional to 417,310.38, 576,111.60 and 326,473.38 is: 450,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,310.38 : 576,111.60 = 326,473.38 : x
  2. Step 2: Convert to fraction form
    417,310.38/576,111.60 = 326,473.38/x
  3. Step 3: Cross multiply
    417,310.38x = 576,111.60 × 326,473.38
  4. Step 4: Simplify right side
    417,310.38x = 188,085,101,309.21
  5. Step 5: Solve for x
    x = 188,085,101,309.21/417,310.38
  6. Step 6: Final answer
    x = 450,707.94

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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.