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Finding the Fourth Proportional to 516,508.56, 774,843 and 263,652.12

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Solution

The fourth proportional to 516,508.56, 774,843 and 263,652.12 is: 395,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,508.56 : 774,843 = 263,652.12 : x
  2. Step 2: Convert to fraction form
    516,508.56/774,843 = 263,652.12/x
  3. Step 3: Cross multiply
    516,508.56x = 774,843 × 263,652.12
  4. Step 4: Simplify right side
    516,508.56x = 204,288,999,617.16
  5. Step 5: Solve for x
    x = 204,288,999,617.16/516,508.56
  6. Step 6: Final answer
    x = 395,519.10

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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.