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Finding the Fourth Proportional to 680,147.80, 1,020,221.70 and 647,488.60

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Solution

The fourth proportional to 680,147.80, 1,020,221.70 and 647,488.60 is: 971,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,147.80 : 1,020,221.70 = 647,488.60 : x
  2. Step 2: Convert to fraction form
    680,147.80/1,020,221.70 = 647,488.60/x
  3. Step 3: Cross multiply
    680,147.80x = 1,020,221.70 × 647,488.60
  4. Step 4: Simplify right side
    680,147.80x = 660,581,920,222.62
  5. Step 5: Solve for x
    x = 660,581,920,222.62/680,147.80
  6. Step 6: Final answer
    x = 971,232.90

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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.