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Finding the Fourth Proportional to 365,494.49, 504,229.61 and 284,781.89

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Solution

The fourth proportional to 365,494.49, 504,229.61 and 284,781.89 is: 392,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,494.49 : 504,229.61 = 284,781.89 : x
  2. Step 2: Convert to fraction form
    365,494.49/504,229.61 = 284,781.89/x
  3. Step 3: Cross multiply
    365,494.49x = 504,229.61 × 284,781.89
  4. Step 4: Simplify right side
    365,494.49x = 143,595,461,329.76
  5. Step 5: Solve for x
    x = 143,595,461,329.76/365,494.49
  6. Step 6: Final answer
    x = 392,879.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.