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Finding the Fourth Proportional to 333,052.80, 499,584 and 108,414.42

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Solution

The fourth proportional to 333,052.80, 499,584 and 108,414.42 is: 162,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,052.80 : 499,584 = 108,414.42 : x
  2. Step 2: Convert to fraction form
    333,052.80/499,584 = 108,414.42/x
  3. Step 3: Cross multiply
    333,052.80x = 499,584 × 108,414.42
  4. Step 4: Simplify right side
    333,052.80x = 54,162,109,601.28
  5. Step 5: Solve for x
    x = 54,162,109,601.28/333,052.80
  6. Step 6: Final answer
    x = 162,623.19

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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.