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Finding the Fourth Proportional to 643,726.20, 965,679.51 and 194,396.10

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Solution

The fourth proportional to 643,726.20, 965,679.51 and 194,396.10 is: 291,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,726.20 : 965,679.51 = 194,396.10 : x
  2. Step 2: Convert to fraction form
    643,726.20/965,679.51 = 194,396.10/x
  3. Step 3: Cross multiply
    643,726.20x = 965,679.51 × 194,396.10
  4. Step 4: Simplify right side
    643,726.20x = 187,724,330,593.91
  5. Step 5: Solve for x
    x = 187,724,330,593.91/643,726.20
  6. Step 6: Final answer
    x = 291,621.39

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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.