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Finding the Fourth Proportional to 297,711.66, 410,844.07 and 161,745.58

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Solution

The fourth proportional to 297,711.66, 410,844.07 and 161,745.58 is: 223,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711.66 : 410,844.07 = 161,745.58 : x
  2. Step 2: Convert to fraction form
    297,711.66/410,844.07 = 161,745.58/x
  3. Step 3: Cross multiply
    297,711.66x = 410,844.07 × 161,745.58
  4. Step 4: Simplify right side
    297,711.66x = 66,452,212,391.71
  5. Step 5: Solve for x
    x = 66,452,212,391.71/297,711.66
  6. Step 6: Final answer
    x = 223,209.98

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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.