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Finding the Fourth Proportional to 503,650.12, 694,828.92 and 299,660.26

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Solution

The fourth proportional to 503,650.12, 694,828.92 and 299,660.26 is: 413,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,650.12 : 694,828.92 = 299,660.26 : x
  2. Step 2: Convert to fraction form
    503,650.12/694,828.92 = 299,660.26/x
  3. Step 3: Cross multiply
    503,650.12x = 694,828.92 × 299,660.26
  4. Step 4: Simplify right side
    503,650.12x = 208,212,614,822.72
  5. Step 5: Solve for x
    x = 208,212,614,822.72/503,650.12
  6. Step 6: Final answer
    x = 413,407.26

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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.