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Finding the Fourth Proportional to 364,504, 503,015.83 and 203,359.08

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Solution

The fourth proportional to 364,504, 503,015.83 and 203,359.08 is: 280,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,504 : 503,015.83 = 203,359.08 : x
  2. Step 2: Convert to fraction form
    364,504/503,015.83 = 203,359.08/x
  3. Step 3: Cross multiply
    364,504x = 503,015.83 × 203,359.08
  4. Step 4: Simplify right side
    364,504x = 102,292,836,414.24
  5. Step 5: Solve for x
    x = 102,292,836,414.24/364,504
  6. Step 6: Final answer
    x = 280,635.70

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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.