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Finding the Fourth Proportional to 412,848.39, 569,685.22 and 231,523.01

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Solution

The fourth proportional to 412,848.39, 569,685.22 and 231,523.01 is: 319,476.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.39 : 569,685.22 = 231,523.01 : x
  2. Step 2: Convert to fraction form
    412,848.39/569,685.22 = 231,523.01/x
  3. Step 3: Cross multiply
    412,848.39x = 569,685.22 × 231,523.01
  4. Step 4: Simplify right side
    412,848.39x = 131,895,236,886.91
  5. Step 5: Solve for x
    x = 131,895,236,886.91/412,848.39
  6. Step 6: Final answer
    x = 319,476.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.