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Finding the Fourth Proportional to 362,994.70, 500,944.82 and 199,658.09

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Solution

The fourth proportional to 362,994.70, 500,944.82 and 199,658.09 is: 275,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,994.70 : 500,944.82 = 199,658.09 : x
  2. Step 2: Convert to fraction form
    362,994.70/500,944.82 = 199,658.09/x
  3. Step 3: Cross multiply
    362,994.70x = 500,944.82 × 199,658.09
  4. Step 4: Simplify right side
    362,994.70x = 100,017,687,931.00
  5. Step 5: Solve for x
    x = 100,017,687,931.00/362,994.70
  6. Step 6: Final answer
    x = 275,534.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.