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Finding the Fourth Proportional to 502,908.86, 694,015.02 and 273,465.90

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Solution

The fourth proportional to 502,908.86, 694,015.02 and 273,465.90 is: 377,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,908.86 : 694,015.02 = 273,465.90 : x
  2. Step 2: Convert to fraction form
    502,908.86/694,015.02 = 273,465.90/x
  3. Step 3: Cross multiply
    502,908.86x = 694,015.02 × 273,465.90
  4. Step 4: Simplify right side
    502,908.86x = 189,789,442,057.82
  5. Step 5: Solve for x
    x = 189,789,442,057.82/502,908.86
  6. Step 6: Final answer
    x = 377,383.37

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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.