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Finding the Fourth Proportional to 379,819.84, 524,150.40 and 218,616

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Solution

The fourth proportional to 379,819.84, 524,150.40 and 218,616 is: 301,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,819.84 : 524,150.40 = 218,616 : x
  2. Step 2: Convert to fraction form
    379,819.84/524,150.40 = 218,616/x
  3. Step 3: Cross multiply
    379,819.84x = 524,150.40 × 218,616
  4. Step 4: Simplify right side
    379,819.84x = 114,587,663,846.40
  5. Step 5: Solve for x
    x = 114,587,663,846.40/379,819.84
  6. Step 6: Final answer
    x = 301,689.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.