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Finding the Fourth Proportional to 493,952.94, 740,843.55 and 138,882.69

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Solution

The fourth proportional to 493,952.94, 740,843.55 and 138,882.69 is: 208,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,952.94 : 740,843.55 = 138,882.69 : x
  2. Step 2: Convert to fraction form
    493,952.94/740,843.55 = 138,882.69/x
  3. Step 3: Cross multiply
    493,952.94x = 740,843.55 × 138,882.69
  4. Step 4: Simplify right side
    493,952.94x = 102,890,345,093.15
  5. Step 5: Solve for x
    x = 102,890,345,093.15/493,952.94
  6. Step 6: Final answer
    x = 208,299.89

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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.