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Finding the Fourth Proportional to 331,904.48, 497,856.82 and 82,586.48

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Solution

The fourth proportional to 331,904.48, 497,856.82 and 82,586.48 is: 123,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,904.48 : 497,856.82 = 82,586.48 : x
  2. Step 2: Convert to fraction form
    331,904.48/497,856.82 = 82,586.48/x
  3. Step 3: Cross multiply
    331,904.48x = 497,856.82 × 82,586.48
  4. Step 4: Simplify right side
    331,904.48x = 41,116,242,307.79
  5. Step 5: Solve for x
    x = 41,116,242,307.79/331,904.48
  6. Step 6: Final answer
    x = 123,879.74

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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.