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Finding the Fourth Proportional to 384,400.80, 576,601.20 and 171,168.30

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Solution

The fourth proportional to 384,400.80, 576,601.20 and 171,168.30 is: 256,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,400.80 : 576,601.20 = 171,168.30 : x
  2. Step 2: Convert to fraction form
    384,400.80/576,601.20 = 171,168.30/x
  3. Step 3: Cross multiply
    384,400.80x = 576,601.20 × 171,168.30
  4. Step 4: Simplify right side
    384,400.80x = 98,695,847,181.96
  5. Step 5: Solve for x
    x = 98,695,847,181.96/384,400.80
  6. Step 6: Final answer
    x = 256,752.45

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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.