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Finding the Fourth Proportional to 294,633.78, 442,144.44 and 161,607.48

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Solution

The fourth proportional to 294,633.78, 442,144.44 and 161,607.48 is: 242,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,633.78 : 442,144.44 = 161,607.48 : x
  2. Step 2: Convert to fraction form
    294,633.78/442,144.44 = 161,607.48/x
  3. Step 3: Cross multiply
    294,633.78x = 442,144.44 × 161,607.48
  4. Step 4: Simplify right side
    294,633.78x = 71,453,848,744.41
  5. Step 5: Solve for x
    x = 71,453,848,744.41/294,633.78
  6. Step 6: Final answer
    x = 242,517.50

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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.