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Finding the Fourth Proportional to 680,168.60, 1,020,291.30 and 206,869.40

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Solution

The fourth proportional to 680,168.60, 1,020,291.30 and 206,869.40 is: 310,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,168.60 : 1,020,291.30 = 206,869.40 : x
  2. Step 2: Convert to fraction form
    680,168.60/1,020,291.30 = 206,869.40/x
  3. Step 3: Cross multiply
    680,168.60x = 1,020,291.30 × 206,869.40
  4. Step 4: Simplify right side
    680,168.60x = 211,067,049,056.22
  5. Step 5: Solve for x
    x = 211,067,049,056.22/680,168.60
  6. Step 6: Final answer
    x = 310,315.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.