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Finding the Fourth Proportional to 356,993.84, 534,761.75 and 199,306.28

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Solution

The fourth proportional to 356,993.84, 534,761.75 and 199,306.28 is: 298,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,993.84 : 534,761.75 = 199,306.28 : x
  2. Step 2: Convert to fraction form
    356,993.84/534,761.75 = 199,306.28/x
  3. Step 3: Cross multiply
    356,993.84x = 534,761.75 × 199,306.28
  4. Step 4: Simplify right side
    356,993.84x = 106,581,372,903.25
  5. Step 5: Solve for x
    x = 106,581,372,903.25/356,993.84
  6. Step 6: Final answer
    x = 298,552.42

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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.