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Finding the Fourth Proportional to 503,212.08, 694,380.83 and 299,223.59

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Solution

The fourth proportional to 503,212.08, 694,380.83 and 299,223.59 is: 412,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,212.08 : 694,380.83 = 299,223.59 : x
  2. Step 2: Convert to fraction form
    503,212.08/694,380.83 = 299,223.59/x
  3. Step 3: Cross multiply
    503,212.08x = 694,380.83 × 299,223.59
  4. Step 4: Simplify right side
    503,212.08x = 207,775,124,779.78
  5. Step 5: Solve for x
    x = 207,775,124,779.78/503,212.08
  6. Step 6: Final answer
    x = 412,897.73

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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.