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Finding the Fourth Proportional to 461,297.44, 692,046.36 and 141,450.46

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Solution

The fourth proportional to 461,297.44, 692,046.36 and 141,450.46 is: 212,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,297.44 : 692,046.36 = 141,450.46 : x
  2. Step 2: Convert to fraction form
    461,297.44/692,046.36 = 141,450.46/x
  3. Step 3: Cross multiply
    461,297.44x = 692,046.36 × 141,450.46
  4. Step 4: Simplify right side
    461,297.44x = 97,890,275,963.33
  5. Step 5: Solve for x
    x = 97,890,275,963.33/461,297.44
  6. Step 6: Final answer
    x = 212,206.41

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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.