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Finding the Fourth Proportional to 653,959.08, 981,317.16 and 274,849.92

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Solution

The fourth proportional to 653,959.08, 981,317.16 and 274,849.92 is: 412,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,959.08 : 981,317.16 = 274,849.92 : x
  2. Step 2: Convert to fraction form
    653,959.08/981,317.16 = 274,849.92/x
  3. Step 3: Cross multiply
    653,959.08x = 981,317.16 × 274,849.92
  4. Step 4: Simplify right side
    653,959.08x = 269,714,942,920.63
  5. Step 5: Solve for x
    x = 269,714,942,920.63/653,959.08
  6. Step 6: Final answer
    x = 412,433.98

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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.