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Finding the Fourth Proportional to 331,917.84, 497,878.56 and 82,599.84

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Solution

The fourth proportional to 331,917.84, 497,878.56 and 82,599.84 is: 123,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,917.84 : 497,878.56 = 82,599.84 : x
  2. Step 2: Convert to fraction form
    331,917.84/497,878.56 = 82,599.84/x
  3. Step 3: Cross multiply
    331,917.84x = 497,878.56 × 82,599.84
  4. Step 4: Simplify right side
    331,917.84x = 41,124,689,395.43
  5. Step 5: Solve for x
    x = 41,124,689,395.43/331,917.84
  6. Step 6: Final answer
    x = 123,900.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.