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Finding the Fourth Proportional to 366,538.38, 505,822.28 and 223,298.44

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Solution

The fourth proportional to 366,538.38, 505,822.28 and 223,298.44 is: 308,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,538.38 : 505,822.28 = 223,298.44 : x
  2. Step 2: Convert to fraction form
    366,538.38/505,822.28 = 223,298.44/x
  3. Step 3: Cross multiply
    366,538.38x = 505,822.28 × 223,298.44
  4. Step 4: Simplify right side
    366,538.38x = 112,949,326,041.24
  5. Step 5: Solve for x
    x = 112,949,326,041.24/366,538.38
  6. Step 6: Final answer
    x = 308,151.43

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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.