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Finding the Fourth Proportional to 413,014.72, 569,965.44 and 231,765.52

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Solution

The fourth proportional to 413,014.72, 569,965.44 and 231,765.52 is: 319,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,014.72 : 569,965.44 = 231,765.52 : x
  2. Step 2: Convert to fraction form
    413,014.72/569,965.44 = 231,765.52/x
  3. Step 3: Cross multiply
    413,014.72x = 569,965.44 × 231,765.52
  4. Step 4: Simplify right side
    413,014.72x = 132,098,336,583.63
  5. Step 5: Solve for x
    x = 132,098,336,583.63/413,014.72
  6. Step 6: Final answer
    x = 319,839.29

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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.