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Finding the Fourth Proportional to 298,399.46, 447,603.78 and 166,120.48

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Solution

The fourth proportional to 298,399.46, 447,603.78 and 166,120.48 is: 249,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,399.46 : 447,603.78 = 166,120.48 : x
  2. Step 2: Convert to fraction form
    298,399.46/447,603.78 = 166,120.48/x
  3. Step 3: Cross multiply
    298,399.46x = 447,603.78 × 166,120.48
  4. Step 4: Simplify right side
    298,399.46x = 74,356,152,545.40
  5. Step 5: Solve for x
    x = 74,356,152,545.40/298,399.46
  6. Step 6: Final answer
    x = 249,183.27

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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.