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Finding the Fourth Proportional to 377,361.91, 566,045.87 and 137,647.58

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Solution

The fourth proportional to 377,361.91, 566,045.87 and 137,647.58 is: 206,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,361.91 : 566,045.87 = 137,647.58 : x
  2. Step 2: Convert to fraction form
    377,361.91/566,045.87 = 137,647.58/x
  3. Step 3: Cross multiply
    377,361.91x = 566,045.87 × 137,647.58
  4. Step 4: Simplify right side
    377,361.91x = 77,914,843,022.30
  5. Step 5: Solve for x
    x = 77,914,843,022.30/377,361.91
  6. Step 6: Final answer
    x = 206,472.46

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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.