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Finding the Fourth Proportional to 680,200.80, 1,020,268.80 and 230,877.60

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Solution

The fourth proportional to 680,200.80, 1,020,268.80 and 230,877.60 is: 346,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,200.80 : 1,020,268.80 = 230,877.60 : x
  2. Step 2: Convert to fraction form
    680,200.80/1,020,268.80 = 230,877.60/x
  3. Step 3: Cross multiply
    680,200.80x = 1,020,268.80 × 230,877.60
  4. Step 4: Simplify right side
    680,200.80x = 235,557,211,898.88
  5. Step 5: Solve for x
    x = 235,557,211,898.88/680,200.80
  6. Step 6: Final answer
    x = 346,305.40

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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.