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Finding the Fourth Proportional to 333,551.97, 499,700.16 and 164,874.85

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Solution

The fourth proportional to 333,551.97, 499,700.16 and 164,874.85 is: 247,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,551.97 : 499,700.16 = 164,874.85 : x
  2. Step 2: Convert to fraction form
    333,551.97/499,700.16 = 164,874.85/x
  3. Step 3: Cross multiply
    333,551.97x = 499,700.16 × 164,874.85
  4. Step 4: Simplify right side
    333,551.97x = 82,387,987,675.73
  5. Step 5: Solve for x
    x = 82,387,987,675.73/333,551.97
  6. Step 6: Final answer
    x = 247,001.95

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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.