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Finding the Fourth Proportional to 333,169.91, 499,604.61 and 164,624.48

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Solution

The fourth proportional to 333,169.91, 499,604.61 and 164,624.48 is: 246,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,169.91 : 499,604.61 = 164,624.48 : x
  2. Step 2: Convert to fraction form
    333,169.91/499,604.61 = 164,624.48/x
  3. Step 3: Cross multiply
    333,169.91x = 499,604.61 × 164,624.48
  4. Step 4: Simplify right side
    333,169.91x = 82,247,149,126.85
  5. Step 5: Solve for x
    x = 82,247,149,126.85/333,169.91
  6. Step 6: Final answer
    x = 246,862.48

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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.