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Finding the Fourth Proportional to 506,964.38, 699,644.51 and 292,118.22

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Solution

The fourth proportional to 506,964.38, 699,644.51 and 292,118.22 is: 403,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,964.38 : 699,644.51 = 292,118.22 : x
  2. Step 2: Convert to fraction form
    506,964.38/699,644.51 = 292,118.22/x
  3. Step 3: Cross multiply
    506,964.38x = 699,644.51 × 292,118.22
  4. Step 4: Simplify right side
    506,964.38x = 204,378,907,433.38
  5. Step 5: Solve for x
    x = 204,378,907,433.38/506,964.38
  6. Step 6: Final answer
    x = 403,142.54

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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.