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Finding the Fourth Proportional to 275,710.70, 413,019.30 and 242,832.80

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Solution

The fourth proportional to 275,710.70, 413,019.30 and 242,832.80 is: 363,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,710.70 : 413,019.30 = 242,832.80 : x
  2. Step 2: Convert to fraction form
    275,710.70/413,019.30 = 242,832.80/x
  3. Step 3: Cross multiply
    275,710.70x = 413,019.30 × 242,832.80
  4. Step 4: Simplify right side
    275,710.70x = 100,294,633,073.04
  5. Step 5: Solve for x
    x = 100,294,633,073.04/275,710.70
  6. Step 6: Final answer
    x = 363,767.65

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