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Finding the Fourth Proportional to 507,092.82, 699,786.90 and 292,231.02

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Solution

The fourth proportional to 507,092.82, 699,786.90 and 292,231.02 is: 403,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,092.82 : 699,786.90 = 292,231.02 : x
  2. Step 2: Convert to fraction form
    507,092.82/699,786.90 = 292,231.02/x
  3. Step 3: Cross multiply
    507,092.82x = 699,786.90 × 292,231.02
  4. Step 4: Simplify right side
    507,092.82x = 204,499,439,569.64
  5. Step 5: Solve for x
    x = 204,499,439,569.64/507,092.82
  6. Step 6: Final answer
    x = 403,278.12

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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.