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Finding the Fourth Proportional to 297,968.59, 411,137.84 and 167,150.59

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Solution

The fourth proportional to 297,968.59, 411,137.84 and 167,150.59 is: 230,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,968.59 : 411,137.84 = 167,150.59 : x
  2. Step 2: Convert to fraction form
    297,968.59/411,137.84 = 167,150.59/x
  3. Step 3: Cross multiply
    297,968.59x = 411,137.84 × 167,150.59
  4. Step 4: Simplify right side
    297,968.59x = 68,721,931,691.57
  5. Step 5: Solve for x
    x = 68,721,931,691.57/297,968.59
  6. Step 6: Final answer
    x = 230,634.82

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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.