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Finding the Fourth Proportional to 357,340.71, 493,131.14 and 196,206.20

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Solution

The fourth proportional to 357,340.71, 493,131.14 and 196,206.20 is: 270,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,340.71 : 493,131.14 = 196,206.20 : x
  2. Step 2: Convert to fraction form
    357,340.71/493,131.14 = 196,206.20/x
  3. Step 3: Cross multiply
    357,340.71x = 493,131.14 × 196,206.20
  4. Step 4: Simplify right side
    357,340.71x = 96,755,383,634.38
  5. Step 5: Solve for x
    x = 96,755,383,634.38/357,340.71
  6. Step 6: Final answer
    x = 270,765.07

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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.