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Finding the Fourth Proportional to 1,295,298.30, 1,942,947.45 and 408,834.30

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Solution

The fourth proportional to 1,295,298.30, 1,942,947.45 and 408,834.30 is: 613,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,298.30 : 1,942,947.45 = 408,834.30 : x
  2. Step 2: Convert to fraction form
    1,295,298.30/1,942,947.45 = 408,834.30/x
  3. Step 3: Cross multiply
    1,295,298.30x = 1,942,947.45 × 408,834.30
  4. Step 4: Simplify right side
    1,295,298.30x = 794,343,560,657.54
  5. Step 5: Solve for x
    x = 794,343,560,657.54/1,295,298.30
  6. Step 6: Final answer
    x = 613,251.45

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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.