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Finding the Fourth Proportional to 367,745.58, 507,477.12 and 204,401.28

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Solution

The fourth proportional to 367,745.58, 507,477.12 and 204,401.28 is: 282,067.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,745.58 : 507,477.12 = 204,401.28 : x
  2. Step 2: Convert to fraction form
    367,745.58/507,477.12 = 204,401.28/x
  3. Step 3: Cross multiply
    367,745.58x = 507,477.12 × 204,401.28
  4. Step 4: Simplify right side
    367,745.58x = 103,728,972,898.71
  5. Step 5: Solve for x
    x = 103,728,972,898.71/367,745.58
  6. Step 6: Final answer
    x = 282,067.22

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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.