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Finding the Fourth Proportional to 413,036.34, 569,999.97 and 231,761.68

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Solution

The fourth proportional to 413,036.34, 569,999.97 and 231,761.68 is: 319,836.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,036.34 : 569,999.97 = 231,761.68 : x
  2. Step 2: Convert to fraction form
    413,036.34/569,999.97 = 231,761.68/x
  3. Step 3: Cross multiply
    413,036.34x = 569,999.97 × 231,761.68
  4. Step 4: Simplify right side
    413,036.34x = 132,104,150,091.26
  5. Step 5: Solve for x
    x = 132,104,150,091.26/413,036.34
  6. Step 6: Final answer
    x = 319,836.62

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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.