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Finding the Fourth Proportional to 702,296.97, 969,166.68 and 380,012.73

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Solution

The fourth proportional to 702,296.97, 969,166.68 and 380,012.73 is: 524,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,296.97 : 969,166.68 = 380,012.73 : x
  2. Step 2: Convert to fraction form
    702,296.97/969,166.68 = 380,012.73/x
  3. Step 3: Cross multiply
    702,296.97x = 969,166.68 × 380,012.73
  4. Step 4: Simplify right side
    702,296.97x = 368,295,675,891.84
  5. Step 5: Solve for x
    x = 368,295,675,891.84/702,296.97
  6. Step 6: Final answer
    x = 524,415.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.