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Finding the Fourth Proportional to 643,712.67, 965,659.22 and 194,382.59

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Solution

The fourth proportional to 643,712.67, 965,659.22 and 194,382.59 is: 291,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,712.67 : 965,659.22 = 194,382.59 : x
  2. Step 2: Convert to fraction form
    643,712.67/965,659.22 = 194,382.59/x
  3. Step 3: Cross multiply
    643,712.67x = 965,659.22 × 194,382.59
  4. Step 4: Simplify right side
    643,712.67x = 187,707,335,169.71
  5. Step 5: Solve for x
    x = 187,707,335,169.71/643,712.67
  6. Step 6: Final answer
    x = 291,601.12

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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.