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Finding the Fourth Proportional to 503,301.52, 694,291.43 and 299,207.27

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Solution

The fourth proportional to 503,301.52, 694,291.43 and 299,207.27 is: 412,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,301.52 : 694,291.43 = 299,207.27 : x
  2. Step 2: Convert to fraction form
    503,301.52/694,291.43 = 299,207.27/x
  3. Step 3: Cross multiply
    503,301.52x = 694,291.43 × 299,207.27
  4. Step 4: Simplify right side
    503,301.52x = 207,737,043,354.70
  5. Step 5: Solve for x
    x = 207,737,043,354.70/503,301.52
  6. Step 6: Final answer
    x = 412,748.69

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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.