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Finding the Fourth Proportional to 288,330, 397,893.82 and 159,277.36

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Solution

The fourth proportional to 288,330, 397,893.82 and 159,277.36 is: 219,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,330 : 397,893.82 = 159,277.36 : x
  2. Step 2: Convert to fraction form
    288,330/397,893.82 = 159,277.36/x
  3. Step 3: Cross multiply
    288,330x = 397,893.82 × 159,277.36
  4. Step 4: Simplify right side
    288,330x = 63,375,477,209.92
  5. Step 5: Solve for x
    x = 63,375,477,209.92/288,330
  6. Step 6: Final answer
    x = 219,801.88

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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.