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Finding the Fourth Proportional to 475,932.40, 714,301.80 and 195,650.80

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Solution

The fourth proportional to 475,932.40, 714,301.80 and 195,650.80 is: 293,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,932.40 : 714,301.80 = 195,650.80 : x
  2. Step 2: Convert to fraction form
    475,932.40/714,301.80 = 195,650.80/x
  3. Step 3: Cross multiply
    475,932.40x = 714,301.80 × 195,650.80
  4. Step 4: Simplify right side
    475,932.40x = 139,753,718,611.44
  5. Step 5: Solve for x
    x = 139,753,718,611.44/475,932.40
  6. Step 6: Final answer
    x = 293,641.95

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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.