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Finding the Fourth Proportional to 529,647.44, 730,227.42 and 343,046.91

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Solution

The fourth proportional to 529,647.44, 730,227.42 and 343,046.91 is: 472,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,647.44 : 730,227.42 = 343,046.91 : x
  2. Step 2: Convert to fraction form
    529,647.44/730,227.42 = 343,046.91/x
  3. Step 3: Cross multiply
    529,647.44x = 730,227.42 × 343,046.91
  4. Step 4: Simplify right side
    529,647.44x = 250,502,260,028.27
  5. Step 5: Solve for x
    x = 250,502,260,028.27/529,647.44
  6. Step 6: Final answer
    x = 472,960.39

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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.