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Finding the Fourth Proportional to 802,448, 1,107,378.24 and 444,752

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Solution

The fourth proportional to 802,448, 1,107,378.24 and 444,752 is: 613,757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,448 : 1,107,378.24 = 444,752 : x
  2. Step 2: Convert to fraction form
    802,448/1,107,378.24 = 444,752/x
  3. Step 3: Cross multiply
    802,448x = 1,107,378.24 × 444,752
  4. Step 4: Simplify right side
    802,448x = 492,508,686,996.48
  5. Step 5: Solve for x
    x = 492,508,686,996.48/802,448
  6. Step 6: Final answer
    x = 613,757.76

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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.