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Finding the Fourth Proportional to 892,082.42, 1,231,092.10 and 504,897.82

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Solution

The fourth proportional to 892,082.42, 1,231,092.10 and 504,897.82 is: 696,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,082.42 : 1,231,092.10 = 504,897.82 : x
  2. Step 2: Convert to fraction form
    892,082.42/1,231,092.10 = 504,897.82/x
  3. Step 3: Cross multiply
    892,082.42x = 1,231,092.10 × 504,897.82
  4. Step 4: Simplify right side
    892,082.42x = 621,575,717,509.22
  5. Step 5: Solve for x
    x = 621,575,717,509.22/892,082.42
  6. Step 6: Final answer
    x = 696,769.38

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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.