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Finding the Fourth Proportional to 1,748,067.03, 2,412,399.81 and 1,013,046.51

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Solution

The fourth proportional to 1,748,067.03, 2,412,399.81 and 1,013,046.51 is: 1,398,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,067.03 : 2,412,399.81 = 1,013,046.51 : x
  2. Step 2: Convert to fraction form
    1,748,067.03/2,412,399.81 = 1,013,046.51/x
  3. Step 3: Cross multiply
    1,748,067.03x = 2,412,399.81 × 1,013,046.51
  4. Step 4: Simplify right side
    1,748,067.03x = 2,443,873,208,245.16
  5. Step 5: Solve for x
    x = 2,443,873,208,245.16/1,748,067.03
  6. Step 6: Final answer
    x = 1,398,043.19

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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.