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Finding the Fourth Proportional to 357,367.85, 493,174.68 and 196,221.49

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Solution

The fourth proportional to 357,367.85, 493,174.68 and 196,221.49 is: 270,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,367.85 : 493,174.68 = 196,221.49 : x
  2. Step 2: Convert to fraction form
    357,367.85/493,174.68 = 196,221.49/x
  3. Step 3: Cross multiply
    357,367.85x = 493,174.68 × 196,221.49
  4. Step 4: Simplify right side
    357,367.85x = 96,771,468,571.11
  5. Step 5: Solve for x
    x = 96,771,468,571.11/357,367.85
  6. Step 6: Final answer
    x = 270,789.52

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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.