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Finding the Fourth Proportional to 502,474.91, 753,550.39 and 165,435.32

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Solution

The fourth proportional to 502,474.91, 753,550.39 and 165,435.32 is: 248,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,474.91 : 753,550.39 = 165,435.32 : x
  2. Step 2: Convert to fraction form
    502,474.91/753,550.39 = 165,435.32/x
  3. Step 3: Cross multiply
    502,474.91x = 753,550.39 × 165,435.32
  4. Step 4: Simplify right side
    502,474.91x = 124,663,848,067.92
  5. Step 5: Solve for x
    x = 124,663,848,067.92/502,474.91
  6. Step 6: Final answer
    x = 248,099.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.