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Finding the Fourth Proportional to 550,426.48, 825,489.87 and 150,972.19

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Solution

The fourth proportional to 550,426.48, 825,489.87 and 150,972.19 is: 226,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,426.48 : 825,489.87 = 150,972.19 : x
  2. Step 2: Convert to fraction form
    550,426.48/825,489.87 = 150,972.19/x
  3. Step 3: Cross multiply
    550,426.48x = 825,489.87 × 150,972.19
  4. Step 4: Simplify right side
    550,426.48x = 124,626,013,496.72
  5. Step 5: Solve for x
    x = 124,626,013,496.72/550,426.48
  6. Step 6: Final answer
    x = 226,417.18

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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.