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Finding the Fourth Proportional to 297,963.52, 411,189.62 and 163,827.52

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Solution

The fourth proportional to 297,963.52, 411,189.62 and 163,827.52 is: 226,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,963.52 : 411,189.62 = 163,827.52 : x
  2. Step 2: Convert to fraction form
    297,963.52/411,189.62 = 163,827.52/x
  3. Step 3: Cross multiply
    297,963.52x = 411,189.62 × 163,827.52
  4. Step 4: Simplify right side
    297,963.52x = 67,364,175,694.34
  5. Step 5: Solve for x
    x = 67,364,175,694.34/297,963.52
  6. Step 6: Final answer
    x = 226,081.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.