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Finding the Fourth Proportional to 454,970.94, 682,536.63 and 155,381.31

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Solution

The fourth proportional to 454,970.94, 682,536.63 and 155,381.31 is: 233,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,970.94 : 682,536.63 = 155,381.31 : x
  2. Step 2: Convert to fraction form
    454,970.94/682,536.63 = 155,381.31/x
  3. Step 3: Cross multiply
    454,970.94x = 682,536.63 × 155,381.31
  4. Step 4: Simplify right side
    454,970.94x = 106,053,435,692.39
  5. Step 5: Solve for x
    x = 106,053,435,692.39/454,970.94
  6. Step 6: Final answer
    x = 233,099.36

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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.