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Finding the Fourth Proportional to 300,671.33, 414,911.61 and 164,705.85

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Solution

The fourth proportional to 300,671.33, 414,911.61 and 164,705.85 is: 227,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,671.33 : 414,911.61 = 164,705.85 : x
  2. Step 2: Convert to fraction form
    300,671.33/414,911.61 = 164,705.85/x
  3. Step 3: Cross multiply
    300,671.33x = 414,911.61 × 164,705.85
  4. Step 4: Simplify right side
    300,671.33x = 68,338,369,399.92
  5. Step 5: Solve for x
    x = 68,338,369,399.92/300,671.33
  6. Step 6: Final answer
    x = 227,285.96

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1.5x scale

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.