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Finding the Fourth Proportional to 503,234.47, 694,198.86 and 299,140.22

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Solution

The fourth proportional to 503,234.47, 694,198.86 and 299,140.22 is: 412,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,234.47 : 694,198.86 = 299,140.22 : x
  2. Step 2: Convert to fraction form
    503,234.47/694,198.86 = 299,140.22/x
  3. Step 3: Cross multiply
    503,234.47x = 694,198.86 × 299,140.22
  4. Step 4: Simplify right side
    503,234.47x = 207,662,800,317.87
  5. Step 5: Solve for x
    x = 207,662,800,317.87/503,234.47
  6. Step 6: Final answer
    x = 412,656.15

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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.