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Finding the Fourth Proportional to 1,403,437.82, 1,936,769.42 and 823,079.54

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Solution

The fourth proportional to 1,403,437.82, 1,936,769.42 and 823,079.54 is: 1,135,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,437.82 : 1,936,769.42 = 823,079.54 : x
  2. Step 2: Convert to fraction form
    1,403,437.82/1,936,769.42 = 823,079.54/x
  3. Step 3: Cross multiply
    1,403,437.82x = 1,936,769.42 × 823,079.54
  4. Step 4: Simplify right side
    1,403,437.82x = 1,594,115,273,615.82
  5. Step 5: Solve for x
    x = 1,594,115,273,615.82/1,403,437.82
  6. Step 6: Final answer
    x = 1,135,864.55

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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.