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Finding the Fourth Proportional to 219,022.60, 306,839 and 219,022.60

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Solution

The fourth proportional to 219,022.60, 306,839 and 219,022.60 is: 306,839

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,022.60 : 306,839 = 219,022.60 : x
  2. Step 2: Convert to fraction form
    219,022.60/306,839 = 219,022.60/x
  3. Step 3: Cross multiply
    219,022.60x = 306,839 × 219,022.60
  4. Step 4: Simplify right side
    219,022.60x = 67,204,675,561.40
  5. Step 5: Solve for x
    x = 67,204,675,561.40/219,022.60
  6. Step 6: Final answer
    x = 306,839

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.