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Finding the Fourth Proportional to 768,680.20, 1,153,020.30 and 516,737.80

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Solution

The fourth proportional to 768,680.20, 1,153,020.30 and 516,737.80 is: 775,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,680.20 : 1,153,020.30 = 516,737.80 : x
  2. Step 2: Convert to fraction form
    768,680.20/1,153,020.30 = 516,737.80/x
  3. Step 3: Cross multiply
    768,680.20x = 1,153,020.30 × 516,737.80
  4. Step 4: Simplify right side
    768,680.20x = 595,809,173,177.34
  5. Step 5: Solve for x
    x = 595,809,173,177.34/768,680.20
  6. Step 6: Final answer
    x = 775,106.70

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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.