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Finding the Fourth Proportional to 297,833.55, 411,013.46 and 161,867.50

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Solution

The fourth proportional to 297,833.55, 411,013.46 and 161,867.50 is: 223,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.55 : 411,013.46 = 161,867.50 : x
  2. Step 2: Convert to fraction form
    297,833.55/411,013.46 = 161,867.50/x
  3. Step 3: Cross multiply
    297,833.55x = 411,013.46 × 161,867.50
  4. Step 4: Simplify right side
    297,833.55x = 66,529,721,236.55
  5. Step 5: Solve for x
    x = 66,529,721,236.55/297,833.55
  6. Step 6: Final answer
    x = 223,378.87

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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.