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Finding the Fourth Proportional to 507,042.94, 699,514.32 and 292,067.86

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Solution

The fourth proportional to 507,042.94, 699,514.32 and 292,067.86 is: 402,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,042.94 : 699,514.32 = 292,067.86 : x
  2. Step 2: Convert to fraction form
    507,042.94/699,514.32 = 292,067.86/x
  3. Step 3: Cross multiply
    507,042.94x = 699,514.32 × 292,067.86
  4. Step 4: Simplify right side
    507,042.94x = 204,305,648,732.97
  5. Step 5: Solve for x
    x = 204,305,648,732.97/507,042.94
  6. Step 6: Final answer
    x = 402,935.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.