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Finding the Fourth Proportional to 288,329.82, 397,893.55 and 159,277.15

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Solution

The fourth proportional to 288,329.82, 397,893.55 and 159,277.15 is: 219,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,329.82 : 397,893.55 = 159,277.15 : x
  2. Step 2: Convert to fraction form
    288,329.82/397,893.55 = 159,277.15/x
  3. Step 3: Cross multiply
    288,329.82x = 397,893.55 × 159,277.15
  4. Step 4: Simplify right side
    288,329.82x = 63,375,350,647.38
  5. Step 5: Solve for x
    x = 63,375,350,647.38/288,329.82
  6. Step 6: Final answer
    x = 219,801.58

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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.