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Finding the Fourth Proportional to 294,468.20, 441,702.30 and 161,757.80

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Solution

The fourth proportional to 294,468.20, 441,702.30 and 161,757.80 is: 242,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,468.20 : 441,702.30 = 161,757.80 : x
  2. Step 2: Convert to fraction form
    294,468.20/441,702.30 = 161,757.80/x
  3. Step 3: Cross multiply
    294,468.20x = 441,702.30 × 161,757.80
  4. Step 4: Simplify right side
    294,468.20x = 71,448,792,302.94
  5. Step 5: Solve for x
    x = 71,448,792,302.94/294,468.20
  6. Step 6: Final answer
    x = 242,636.70

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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.