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Finding the Fourth Proportional to 881,137, 1,216,072.74 and 523,441

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Solution

The fourth proportional to 881,137, 1,216,072.74 and 523,441 is: 722,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,137 : 1,216,072.74 = 523,441 : x
  2. Step 2: Convert to fraction form
    881,137/1,216,072.74 = 523,441/x
  3. Step 3: Cross multiply
    881,137x = 1,216,072.74 × 523,441
  4. Step 4: Simplify right side
    881,137x = 636,542,331,098.34
  5. Step 5: Solve for x
    x = 636,542,331,098.34/881,137
  6. Step 6: Final answer
    x = 722,410.17

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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.