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Finding the Fourth Proportional to 821,132.64, 1,238,015.52 and 806,436

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Solution

The fourth proportional to 821,132.64, 1,238,015.52 and 806,436 is: 1,215,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,132.64 : 1,238,015.52 = 806,436 : x
  2. Step 2: Convert to fraction form
    821,132.64/1,238,015.52 = 806,436/x
  3. Step 3: Cross multiply
    821,132.64x = 1,238,015.52 × 806,436
  4. Step 4: Simplify right side
    821,132.64x = 998,380,283,886.72
  5. Step 5: Solve for x
    x = 998,380,283,886.72/821,132.64
  6. Step 6: Final answer
    x = 1,215,857.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.