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Finding the Fourth Proportional to 469,782.74, 648,301.92 and 254,922.80

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Solution

The fourth proportional to 469,782.74, 648,301.92 and 254,922.80 is: 351,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,782.74 : 648,301.92 = 254,922.80 : x
  2. Step 2: Convert to fraction form
    469,782.74/648,301.92 = 254,922.80/x
  3. Step 3: Cross multiply
    469,782.74x = 648,301.92 × 254,922.80
  4. Step 4: Simplify right side
    469,782.74x = 165,266,940,691.78
  5. Step 5: Solve for x
    x = 165,266,940,691.78/469,782.74
  6. Step 6: Final answer
    x = 351,794.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.