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Finding the Fourth Proportional to 633,674.85, 950,201.24 and 313,456.74

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Solution

The fourth proportional to 633,674.85, 950,201.24 and 313,456.74 is: 470,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,674.85 : 950,201.24 = 313,456.74 : x
  2. Step 2: Convert to fraction form
    633,674.85/950,201.24 = 313,456.74/x
  3. Step 3: Cross multiply
    633,674.85x = 950,201.24 × 313,456.74
  4. Step 4: Simplify right side
    633,674.85x = 297,846,981,467.07
  5. Step 5: Solve for x
    x = 297,846,981,467.07/633,674.85
  6. Step 6: Final answer
    x = 470,031.25

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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.