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Finding the Fourth Proportional to 331,854.84, 497,784.06 and 82,536.84

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Solution

The fourth proportional to 331,854.84, 497,784.06 and 82,536.84 is: 123,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,854.84 : 497,784.06 = 82,536.84 : x
  2. Step 2: Convert to fraction form
    331,854.84/497,784.06 = 82,536.84/x
  3. Step 3: Cross multiply
    331,854.84x = 497,784.06 × 82,536.84
  4. Step 4: Simplify right side
    331,854.84x = 41,085,523,314.77
  5. Step 5: Solve for x
    x = 41,085,523,314.77/331,854.84
  6. Step 6: Final answer
    x = 123,805.71

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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.