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Finding the Fourth Proportional to 616,993.71, 925,432.25 and 196,195.47

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Solution

The fourth proportional to 616,993.71, 925,432.25 and 196,195.47 is: 294,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,993.71 : 925,432.25 = 196,195.47 : x
  2. Step 2: Convert to fraction form
    616,993.71/925,432.25 = 196,195.47/x
  3. Step 3: Cross multiply
    616,993.71x = 925,432.25 × 196,195.47
  4. Step 4: Simplify right side
    616,993.71x = 181,565,614,260.93
  5. Step 5: Solve for x
    x = 181,565,614,260.93/616,993.71
  6. Step 6: Final answer
    x = 294,274.66

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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.