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Finding the Fourth Proportional to 510,781.92, 704,879.01 and 296,046.54

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Solution

The fourth proportional to 510,781.92, 704,879.01 and 296,046.54 is: 408,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,781.92 : 704,879.01 = 296,046.54 : x
  2. Step 2: Convert to fraction form
    510,781.92/704,879.01 = 296,046.54/x
  3. Step 3: Cross multiply
    510,781.92x = 704,879.01 × 296,046.54
  4. Step 4: Simplify right side
    510,781.92x = 208,676,992,029.13
  5. Step 5: Solve for x
    x = 208,676,992,029.13/510,781.92
  6. Step 6: Final answer
    x = 408,544.21

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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.