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Finding the Fourth Proportional to 288,327, 397,889.67 and 159,274.35

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Solution

The fourth proportional to 288,327, 397,889.67 and 159,274.35 is: 219,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,327 : 397,889.67 = 159,274.35 : x
  2. Step 2: Convert to fraction form
    288,327/397,889.67 = 159,274.35/x
  3. Step 3: Cross multiply
    288,327x = 397,889.67 × 159,274.35
  4. Step 4: Simplify right side
    288,327x = 63,373,618,560.96
  5. Step 5: Solve for x
    x = 63,373,618,560.96/288,327
  6. Step 6: Final answer
    x = 219,797.72

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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.