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Finding the Fourth Proportional to 382,285, 573,496.71 and 157,520.44

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Solution

The fourth proportional to 382,285, 573,496.71 and 157,520.44 is: 236,309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,285 : 573,496.71 = 157,520.44 : x
  2. Step 2: Convert to fraction form
    382,285/573,496.71 = 157,520.44/x
  3. Step 3: Cross multiply
    382,285x = 573,496.71 × 157,520.44
  4. Step 4: Simplify right side
    382,285x = 90,337,454,097.75
  5. Step 5: Solve for x
    x = 90,337,454,097.75/382,285
  6. Step 6: Final answer
    x = 236,309.18

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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.