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Finding the Fourth Proportional to 345,894.30, 477,291.68 and 192,896.64

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Solution

The fourth proportional to 345,894.30, 477,291.68 and 192,896.64 is: 266,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,894.30 : 477,291.68 = 192,896.64 : x
  2. Step 2: Convert to fraction form
    345,894.30/477,291.68 = 192,896.64/x
  3. Step 3: Cross multiply
    345,894.30x = 477,291.68 × 192,896.64
  4. Step 4: Simplify right side
    345,894.30x = 92,067,961,371.96
  5. Step 5: Solve for x
    x = 92,067,961,371.96/345,894.30
  6. Step 6: Final answer
    x = 266,173.69

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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.