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Finding the Fourth Proportional to 643,753.40, 965,625.30 and 194,473.40

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Solution

The fourth proportional to 643,753.40, 965,625.30 and 194,473.40 is: 291,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,753.40 : 965,625.30 = 194,473.40 : x
  2. Step 2: Convert to fraction form
    643,753.40/965,625.30 = 194,473.40/x
  3. Step 3: Cross multiply
    643,753.40x = 965,625.30 × 194,473.40
  4. Step 4: Simplify right side
    643,753.40x = 187,788,435,217.02
  5. Step 5: Solve for x
    x = 187,788,435,217.02/643,753.40
  6. Step 6: Final answer
    x = 291,708.65

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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.