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Finding the Fourth Proportional to 271,874.24, 407,351.20 and 166,473.12

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Solution

The fourth proportional to 271,874.24, 407,351.20 and 166,473.12 is: 249,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,874.24 : 407,351.20 = 166,473.12 : x
  2. Step 2: Convert to fraction form
    271,874.24/407,351.20 = 166,473.12/x
  3. Step 3: Cross multiply
    271,874.24x = 407,351.20 × 166,473.12
  4. Step 4: Simplify right side
    271,874.24x = 67,813,025,199.74
  5. Step 5: Solve for x
    x = 67,813,025,199.74/271,874.24
  6. Step 6: Final answer
    x = 249,427.92

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1.5x scale

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.