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Finding the Fourth Proportional to 367,473.50, 507,127.64 and 204,142.37

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Solution

The fourth proportional to 367,473.50, 507,127.64 and 204,142.37 is: 281,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,473.50 : 507,127.64 = 204,142.37 : x
  2. Step 2: Convert to fraction form
    367,473.50/507,127.64 = 204,142.37/x
  3. Step 3: Cross multiply
    367,473.50x = 507,127.64 × 204,142.37
  4. Step 4: Simplify right side
    367,473.50x = 103,526,238,322.11
  5. Step 5: Solve for x
    x = 103,526,238,322.11/367,473.50
  6. Step 6: Final answer
    x = 281,724.36

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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.