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Finding the Fourth Proportional to 300,002, 414,011.40 and 165,874.64

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Solution

The fourth proportional to 300,002, 414,011.40 and 165,874.64 is: 228,911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,002 : 414,011.40 = 165,874.64 : x
  2. Step 2: Convert to fraction form
    300,002/414,011.40 = 165,874.64/x
  3. Step 3: Cross multiply
    300,002x = 414,011.40 × 165,874.64
  4. Step 4: Simplify right side
    300,002x = 68,673,991,930.90
  5. Step 5: Solve for x
    x = 68,673,991,930.90/300,002
  6. Step 6: Final answer
    x = 228,911.78

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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.