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Finding the Fourth Proportional to 640,192.68, 960,392.70 and 196,857

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Solution

The fourth proportional to 640,192.68, 960,392.70 and 196,857 is: 295,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,192.68 : 960,392.70 = 196,857 : x
  2. Step 2: Convert to fraction form
    640,192.68/960,392.70 = 196,857/x
  3. Step 3: Cross multiply
    640,192.68x = 960,392.70 × 196,857
  4. Step 4: Simplify right side
    640,192.68x = 189,060,025,743.90
  5. Step 5: Solve for x
    x = 189,060,025,743.90/640,192.68
  6. Step 6: Final answer
    x = 295,317.38

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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.