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Finding the Fourth Proportional to 563,739.64, 845,519.43 and 164,286.97

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Solution

The fourth proportional to 563,739.64, 845,519.43 and 164,286.97 is: 246,404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,739.64 : 845,519.43 = 164,286.97 : x
  2. Step 2: Convert to fraction form
    563,739.64/845,519.43 = 164,286.97/x
  3. Step 3: Cross multiply
    563,739.64x = 845,519.43 × 164,286.97
  4. Step 4: Simplify right side
    563,739.64x = 138,907,825,230.83
  5. Step 5: Solve for x
    x = 138,907,825,230.83/563,739.64
  6. Step 6: Final answer
    x = 246,404.22

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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.