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Finding the Fourth Proportional to 599,243.04, 827,287.56 and 408,536.64

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Solution

The fourth proportional to 599,243.04, 827,287.56 and 408,536.64 is: 564,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,243.04 : 827,287.56 = 408,536.64 : x
  2. Step 2: Convert to fraction form
    599,243.04/827,287.56 = 408,536.64/x
  3. Step 3: Cross multiply
    599,243.04x = 827,287.56 × 408,536.64
  4. Step 4: Simplify right side
    599,243.04x = 337,977,280,076.20
  5. Step 5: Solve for x
    x = 337,977,280,076.20/599,243.04
  6. Step 6: Final answer
    x = 564,007.02

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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.