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Finding the Fourth Proportional to 1,647,691, 2,273,848.14 and 932,299

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Solution

The fourth proportional to 1,647,691, 2,273,848.14 and 932,299 is: 1,286,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,691 : 2,273,848.14 = 932,299 : x
  2. Step 2: Convert to fraction form
    1,647,691/2,273,848.14 = 932,299/x
  3. Step 3: Cross multiply
    1,647,691x = 2,273,848.14 × 932,299
  4. Step 4: Simplify right side
    1,647,691x = 2,119,906,347,073.86
  5. Step 5: Solve for x
    x = 2,119,906,347,073.86/1,647,691
  6. Step 6: Final answer
    x = 1,286,592.17

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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.