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Finding the Fourth Proportional to 412,681.57, 569,498.38 and 231,393.31

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Solution

The fourth proportional to 412,681.57, 569,498.38 and 231,393.31 is: 319,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,681.57 : 569,498.38 = 231,393.31 : x
  2. Step 2: Convert to fraction form
    412,681.57/569,498.38 = 231,393.31/x
  3. Step 3: Cross multiply
    412,681.57x = 569,498.38 × 231,393.31
  4. Step 4: Simplify right side
    412,681.57x = 131,778,115,187.84
  5. Step 5: Solve for x
    x = 131,778,115,187.84/412,681.57
  6. Step 6: Final answer
    x = 319,321.54

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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.