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Finding the Fourth Proportional to 412,848.77, 569,685.74 and 231,523.38

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Solution

The fourth proportional to 412,848.77, 569,685.74 and 231,523.38 is: 319,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.77 : 569,685.74 = 231,523.38 : x
  2. Step 2: Convert to fraction form
    412,848.77/569,685.74 = 231,523.38/x
  3. Step 3: Cross multiply
    412,848.77x = 569,685.74 × 231,523.38
  4. Step 4: Simplify right side
    412,848.77x = 131,895,566,904.98
  5. Step 5: Solve for x
    x = 131,895,566,904.98/412,848.77
  6. Step 6: Final answer
    x = 319,476.71

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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.