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Finding the Fourth Proportional to 345,087.40, 476,220.42 and 194,184.52

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Solution

The fourth proportional to 345,087.40, 476,220.42 and 194,184.52 is: 267,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,087.40 : 476,220.42 = 194,184.52 : x
  2. Step 2: Convert to fraction form
    345,087.40/476,220.42 = 194,184.52/x
  3. Step 3: Cross multiply
    345,087.40x = 476,220.42 × 194,184.52
  4. Step 4: Simplify right side
    345,087.40x = 92,474,633,671.90
  5. Step 5: Solve for x
    x = 92,474,633,671.90/345,087.40
  6. Step 6: Final answer
    x = 267,974.53

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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.