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Finding the Fourth Proportional to 496,841.07, 685,730.10 and 292,879.83

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Solution

The fourth proportional to 496,841.07, 685,730.10 and 292,879.83 is: 404,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,841.07 : 685,730.10 = 292,879.83 : x
  2. Step 2: Convert to fraction form
    496,841.07/685,730.10 = 292,879.83/x
  3. Step 3: Cross multiply
    496,841.07x = 685,730.10 × 292,879.83
  4. Step 4: Simplify right side
    496,841.07x = 200,836,515,113.88
  5. Step 5: Solve for x
    x = 200,836,515,113.88/496,841.07
  6. Step 6: Final answer
    x = 404,226.88

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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.