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Finding the Fourth Proportional to 503,654.12, 694,834.44 and 299,664.26

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Solution

The fourth proportional to 503,654.12, 694,834.44 and 299,664.26 is: 413,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,654.12 : 694,834.44 = 299,664.26 : x
  2. Step 2: Convert to fraction form
    503,654.12/694,834.44 = 299,664.26/x
  3. Step 3: Cross multiply
    503,654.12x = 694,834.44 × 299,664.26
  4. Step 4: Simplify right side
    503,654.12x = 208,217,048,285.11
  5. Step 5: Solve for x
    x = 208,217,048,285.11/503,654.12
  6. Step 6: Final answer
    x = 413,412.78

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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.