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Finding the Fourth Proportional to 1,468,067.70, 2,202,101.55 and 1,468,067.70

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Solution

The fourth proportional to 1,468,067.70, 2,202,101.55 and 1,468,067.70 is: 2,202,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,067.70 : 2,202,101.55 = 1,468,067.70 : x
  2. Step 2: Convert to fraction form
    1,468,067.70/2,202,101.55 = 1,468,067.70/x
  3. Step 3: Cross multiply
    1,468,067.70x = 2,202,101.55 × 1,468,067.70
  4. Step 4: Simplify right side
    1,468,067.70x = 3,232,834,157,674.93
  5. Step 5: Solve for x
    x = 3,232,834,157,674.93/1,468,067.70
  6. Step 6: Final answer
    x = 2,202,101.55

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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.