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Finding the Fourth Proportional to 550,093.28, 825,461.58 and 230,218.43

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Solution

The fourth proportional to 550,093.28, 825,461.58 and 230,218.43 is: 345,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,093.28 : 825,461.58 = 230,218.43 : x
  2. Step 2: Convert to fraction form
    550,093.28/825,461.58 = 230,218.43/x
  3. Step 3: Cross multiply
    550,093.28x = 825,461.58 × 230,218.43
  4. Step 4: Simplify right side
    550,093.28x = 190,036,468,972.92
  5. Step 5: Solve for x
    x = 190,036,468,972.92/550,093.28
  6. Step 6: Final answer
    x = 345,462.26

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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.