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Finding the Fourth Proportional to 493,882.80, 740,856.60 and 138,908.40

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Solution

The fourth proportional to 493,882.80, 740,856.60 and 138,908.40 is: 208,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,882.80 : 740,856.60 = 138,908.40 : x
  2. Step 2: Convert to fraction form
    493,882.80/740,856.60 = 138,908.40/x
  3. Step 3: Cross multiply
    493,882.80x = 740,856.60 × 138,908.40
  4. Step 4: Simplify right side
    493,882.80x = 102,911,204,935.44
  5. Step 5: Solve for x
    x = 102,911,204,935.44/493,882.80
  6. Step 6: Final answer
    x = 208,371.71

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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.