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Finding the Fourth Proportional to 412,822.36, 569,701.38 and 231,574.60

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Solution

The fourth proportional to 412,822.36, 569,701.38 and 231,574.60 is: 319,576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,822.36 : 569,701.38 = 231,574.60 : x
  2. Step 2: Convert to fraction form
    412,822.36/569,701.38 = 231,574.60/x
  3. Step 3: Cross multiply
    412,822.36x = 569,701.38 × 231,574.60
  4. Step 4: Simplify right side
    412,822.36x = 131,928,369,192.95
  5. Step 5: Solve for x
    x = 131,928,369,192.95/412,822.36
  6. Step 6: Final answer
    x = 319,576.61

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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.