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Finding the Fourth Proportional to 510,902.55, 766,791.23 and 227,029.95

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Solution

The fourth proportional to 510,902.55, 766,791.23 and 227,029.95 is: 340,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,902.55 : 766,791.23 = 227,029.95 : x
  2. Step 2: Convert to fraction form
    510,902.55/766,791.23 = 227,029.95/x
  3. Step 3: Cross multiply
    510,902.55x = 766,791.23 × 227,029.95
  4. Step 4: Simplify right side
    510,902.55x = 174,084,573,472.19
  5. Step 5: Solve for x
    x = 174,084,573,472.19/510,902.55
  6. Step 6: Final answer
    x = 340,739.29

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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.