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Finding the Fourth Proportional to 513,825.82, 769,741.29 and 378,644.50

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Solution

The fourth proportional to 513,825.82, 769,741.29 and 378,644.50 is: 567,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,825.82 : 769,741.29 = 378,644.50 : x
  2. Step 2: Convert to fraction form
    513,825.82/769,741.29 = 378,644.50/x
  3. Step 3: Cross multiply
    513,825.82x = 769,741.29 × 378,644.50
  4. Step 4: Simplify right side
    513,825.82x = 291,458,305,881.41
  5. Step 5: Solve for x
    x = 291,458,305,881.41/513,825.82
  6. Step 6: Final answer
    x = 567,231.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.