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Finding the Fourth Proportional to 297,977.80, 446,966.70 and 110,950.60

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Solution

The fourth proportional to 297,977.80, 446,966.70 and 110,950.60 is: 166,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,977.80 : 446,966.70 = 110,950.60 : x
  2. Step 2: Convert to fraction form
    297,977.80/446,966.70 = 110,950.60/x
  3. Step 3: Cross multiply
    297,977.80x = 446,966.70 × 110,950.60
  4. Step 4: Simplify right side
    297,977.80x = 49,591,223,545.02
  5. Step 5: Solve for x
    x = 49,591,223,545.02/297,977.80
  6. Step 6: Final answer
    x = 166,425.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.