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Finding the Fourth Proportional to 654,720.94, 982,321.28 and 275,737.06

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Solution

The fourth proportional to 654,720.94, 982,321.28 and 275,737.06 is: 413,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,720.94 : 982,321.28 = 275,737.06 : x
  2. Step 2: Convert to fraction form
    654,720.94/982,321.28 = 275,737.06/x
  3. Step 3: Cross multiply
    654,720.94x = 982,321.28 × 275,737.06
  4. Step 4: Simplify right side
    654,720.94x = 270,862,381,722.64
  5. Step 5: Solve for x
    x = 270,862,381,722.64/654,720.94
  6. Step 6: Final answer
    x = 413,706.61

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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.