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Finding the Fourth Proportional to 360,074, 496,902.12 and 201,098

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Solution

The fourth proportional to 360,074, 496,902.12 and 201,098 is: 277,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,074 : 496,902.12 = 201,098 : x
  2. Step 2: Convert to fraction form
    360,074/496,902.12 = 201,098/x
  3. Step 3: Cross multiply
    360,074x = 496,902.12 × 201,098
  4. Step 4: Simplify right side
    360,074x = 99,926,022,527.76
  5. Step 5: Solve for x
    x = 99,926,022,527.76/360,074
  6. Step 6: Final answer
    x = 277,515.24

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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.