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Finding the Fourth Proportional to 294,999.30, 442,515.42 and 84,631.50

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Solution

The fourth proportional to 294,999.30, 442,515.42 and 84,631.50 is: 126,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,999.30 : 442,515.42 = 84,631.50 : x
  2. Step 2: Convert to fraction form
    294,999.30/442,515.42 = 84,631.50/x
  3. Step 3: Cross multiply
    294,999.30x = 442,515.42 × 84,631.50
  4. Step 4: Simplify right side
    294,999.30x = 37,450,743,767.73
  5. Step 5: Solve for x
    x = 37,450,743,767.73/294,999.30
  6. Step 6: Final answer
    x = 126,951.98

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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.