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Finding the Fourth Proportional to 503,043.53, 694,196.78 and 285,293.66

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Solution

The fourth proportional to 503,043.53, 694,196.78 and 285,293.66 is: 393,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,043.53 : 694,196.78 = 285,293.66 : x
  2. Step 2: Convert to fraction form
    503,043.53/694,196.78 = 285,293.66/x
  3. Step 3: Cross multiply
    503,043.53x = 694,196.78 × 285,293.66
  4. Step 4: Simplify right side
    503,043.53x = 198,049,940,126.42
  5. Step 5: Solve for x
    x = 198,049,940,126.42/503,043.53
  6. Step 6: Final answer
    x = 393,703.38

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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.