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Finding the Fourth Proportional to 337,867.00, 466,257.77 and 217,009.33

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Solution

The fourth proportional to 337,867.00, 466,257.77 and 217,009.33 is: 299,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,867.00 : 466,257.77 = 217,009.33 : x
  2. Step 2: Convert to fraction form
    337,867.00/466,257.77 = 217,009.33/x
  3. Step 3: Cross multiply
    337,867.00x = 466,257.77 × 217,009.33
  4. Step 4: Simplify right side
    337,867.00x = 101,182,284,838.09
  5. Step 5: Solve for x
    x = 101,182,284,838.09/337,867.00
  6. Step 6: Final answer
    x = 299,473.71

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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.