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Finding the Fourth Proportional to 460,791.72, 635,760.09 and 299,883.60

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Solution

The fourth proportional to 460,791.72, 635,760.09 and 299,883.60 is: 413,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,791.72 : 635,760.09 = 299,883.60 : x
  2. Step 2: Convert to fraction form
    460,791.72/635,760.09 = 299,883.60/x
  3. Step 3: Cross multiply
    460,791.72x = 635,760.09 × 299,883.60
  4. Step 4: Simplify right side
    460,791.72x = 190,654,024,525.52
  5. Step 5: Solve for x
    x = 190,654,024,525.52/460,791.72
  6. Step 6: Final answer
    x = 413,753.15

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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.