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Finding the Fourth Proportional to 599,288.20, 827,017.78 and 331,016.20

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Solution

The fourth proportional to 599,288.20, 827,017.78 and 331,016.20 is: 456,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,288.20 : 827,017.78 = 331,016.20 : x
  2. Step 2: Convert to fraction form
    599,288.20/827,017.78 = 331,016.20/x
  3. Step 3: Cross multiply
    599,288.20x = 827,017.78 × 331,016.20
  4. Step 4: Simplify right side
    599,288.20x = 273,756,282,868.04
  5. Step 5: Solve for x
    x = 273,756,282,868.04/599,288.20
  6. Step 6: Final answer
    x = 456,802.39

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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.