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Finding the Fourth Proportional to 488,658.38, 733,238.37 and 232,780.73

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Solution

The fourth proportional to 488,658.38, 733,238.37 and 232,780.73 is: 349,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,658.38 : 733,238.37 = 232,780.73 : x
  2. Step 2: Convert to fraction form
    488,658.38/733,238.37 = 232,780.73/x
  3. Step 3: Cross multiply
    488,658.38x = 733,238.37 × 232,780.73
  4. Step 4: Simplify right side
    488,658.38x = 170,683,763,032.61
  5. Step 5: Solve for x
    x = 170,683,763,032.61/488,658.38
  6. Step 6: Final answer
    x = 349,290.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.