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Finding the Fourth Proportional to 297,869.64, 411,060.12 and 163,733.64

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Solution

The fourth proportional to 297,869.64, 411,060.12 and 163,733.64 is: 225,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,869.64 : 411,060.12 = 163,733.64 : x
  2. Step 2: Convert to fraction form
    297,869.64/411,060.12 = 163,733.64/x
  3. Step 3: Cross multiply
    297,869.64x = 411,060.12 × 163,733.64
  4. Step 4: Simplify right side
    297,869.64x = 67,304,369,706.44
  5. Step 5: Solve for x
    x = 67,304,369,706.44/297,869.64
  6. Step 6: Final answer
    x = 225,952.43

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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.