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Finding the Fourth Proportional to 680,162.10, 1,020,281.55 and 206,862.90

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Solution

The fourth proportional to 680,162.10, 1,020,281.55 and 206,862.90 is: 310,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,162.10 : 1,020,281.55 = 206,862.90 : x
  2. Step 2: Convert to fraction form
    680,162.10/1,020,281.55 = 206,862.90/x
  3. Step 3: Cross multiply
    680,162.10x = 1,020,281.55 × 206,862.90
  4. Step 4: Simplify right side
    680,162.10x = 211,058,400,249.50
  5. Step 5: Solve for x
    x = 211,058,400,249.50/680,162.10
  6. Step 6: Final answer
    x = 310,306.03

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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.