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Finding the Fourth Proportional to 496,778.32, 685,627.89 and 292,764.01

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Solution

The fourth proportional to 496,778.32, 685,627.89 and 292,764.01 is: 404,057.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,778.32 : 685,627.89 = 292,764.01 : x
  2. Step 2: Convert to fraction form
    496,778.32/685,627.89 = 292,764.01/x
  3. Step 3: Cross multiply
    496,778.32x = 685,627.89 × 292,764.01
  4. Step 4: Simplify right side
    496,778.32x = 200,727,170,444.24
  5. Step 5: Solve for x
    x = 200,727,170,444.24/496,778.32
  6. Step 6: Final answer
    x = 404,057.83

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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.