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Finding the Fourth Proportional to 469,782.18, 648,301.20 and 254,922.24

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Solution

The fourth proportional to 469,782.18, 648,301.20 and 254,922.24 is: 351,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,782.18 : 648,301.20 = 254,922.24 : x
  2. Step 2: Convert to fraction form
    469,782.18/648,301.20 = 254,922.24/x
  3. Step 3: Cross multiply
    469,782.18x = 648,301.20 × 254,922.24
  4. Step 4: Simplify right side
    469,782.18x = 165,266,394,098.69
  5. Step 5: Solve for x
    x = 165,266,394,098.69/469,782.18
  6. Step 6: Final answer
    x = 351,793.66

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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.