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Finding the Fourth Proportional to 1,407,903.57, 1,942,947.91 and 796,043.19

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Solution

The fourth proportional to 1,407,903.57, 1,942,947.91 and 796,043.19 is: 1,098,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,903.57 : 1,942,947.91 = 796,043.19 : x
  2. Step 2: Convert to fraction form
    1,407,903.57/1,942,947.91 = 796,043.19/x
  3. Step 3: Cross multiply
    1,407,903.57x = 1,942,947.91 × 796,043.19
  4. Step 4: Simplify right side
    1,407,903.57x = 1,546,670,448,300.02
  5. Step 5: Solve for x
    x = 1,546,670,448,300.02/1,407,903.57
  6. Step 6: Final answer
    x = 1,098,562.78

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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.