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Finding the Fourth Proportional to 331,866.84, 497,802.06 and 82,548.84

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Solution

The fourth proportional to 331,866.84, 497,802.06 and 82,548.84 is: 123,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,866.84 : 497,802.06 = 82,548.84 : x
  2. Step 2: Convert to fraction form
    331,866.84/497,802.06 = 82,548.84/x
  3. Step 3: Cross multiply
    331,866.84x = 497,802.06 × 82,548.84
  4. Step 4: Simplify right side
    331,866.84x = 41,092,982,602.61
  5. Step 5: Solve for x
    x = 41,092,982,602.61/331,866.84
  6. Step 6: Final answer
    x = 123,823.71

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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.