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Finding the Fourth Proportional to 403,517.80, 604,758.30 and 192,701.80

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Solution

The fourth proportional to 403,517.80, 604,758.30 and 192,701.80 is: 288,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,517.80 : 604,758.30 = 192,701.80 : x
  2. Step 2: Convert to fraction form
    403,517.80/604,758.30 = 192,701.80/x
  3. Step 3: Cross multiply
    403,517.80x = 604,758.30 × 192,701.80
  4. Step 4: Simplify right side
    403,517.80x = 116,538,012,974.94
  5. Step 5: Solve for x
    x = 116,538,012,974.94/403,517.80
  6. Step 6: Final answer
    x = 288,805.14

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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.