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Finding the Fourth Proportional to 357,359.97, 493,153.32 and 196,213.62

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Solution

The fourth proportional to 357,359.97, 493,153.32 and 196,213.62 is: 270,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,359.97 : 493,153.32 = 196,213.62 : x
  2. Step 2: Convert to fraction form
    357,359.97/493,153.32 = 196,213.62/x
  3. Step 3: Cross multiply
    357,359.97x = 493,153.32 × 196,213.62
  4. Step 4: Simplify right side
    357,359.97x = 96,763,398,132.22
  5. Step 5: Solve for x
    x = 96,763,398,132.22/357,359.97
  6. Step 6: Final answer
    x = 270,772.91

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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.