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Finding the Fourth Proportional to 468,286.26, 646,235.10 and 253,426.38

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Solution

The fourth proportional to 468,286.26, 646,235.10 and 253,426.38 is: 349,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,286.26 : 646,235.10 = 253,426.38 : x
  2. Step 2: Convert to fraction form
    468,286.26/646,235.10 = 253,426.38/x
  3. Step 3: Cross multiply
    468,286.26x = 646,235.10 × 253,426.38
  4. Step 4: Simplify right side
    468,286.26x = 163,773,022,021.94
  5. Step 5: Solve for x
    x = 163,773,022,021.94/468,286.26
  6. Step 6: Final answer
    x = 349,728.44

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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.