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Finding the Fourth Proportional to 367,739.57, 507,468.86 and 204,395.27

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Solution

The fourth proportional to 367,739.57, 507,468.86 and 204,395.27 is: 282,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,739.57 : 507,468.86 = 204,395.27 : x
  2. Step 2: Convert to fraction form
    367,739.57/507,468.86 = 204,395.27/x
  3. Step 3: Cross multiply
    367,739.57x = 507,468.86 × 204,395.27
  4. Step 4: Simplify right side
    367,739.57x = 103,724,231,096.97
  5. Step 5: Solve for x
    x = 103,724,231,096.97/367,739.57
  6. Step 6: Final answer
    x = 282,058.94

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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.