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Finding the Fourth Proportional to 219,053.70, 298,238.99 and 218,378.97

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Solution

The fourth proportional to 219,053.70, 298,238.99 and 218,378.97 is: 297,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,053.70 : 298,238.99 = 218,378.97 : x
  2. Step 2: Convert to fraction form
    219,053.70/298,238.99 = 218,378.97/x
  3. Step 3: Cross multiply
    219,053.70x = 298,238.99 × 218,378.97
  4. Step 4: Simplify right side
    219,053.70x = 65,129,123,649.69
  5. Step 5: Solve for x
    x = 65,129,123,649.69/219,053.70
  6. Step 6: Final answer
    x = 297,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.