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Finding the Fourth Proportional to 523,345.17, 722,233.77 and 293,942.82

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Solution

The fourth proportional to 523,345.17, 722,233.77 and 293,942.82 is: 405,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,345.17 : 722,233.77 = 293,942.82 : x
  2. Step 2: Convert to fraction form
    523,345.17/722,233.77 = 293,942.82/x
  3. Step 3: Cross multiply
    523,345.17x = 722,233.77 × 293,942.82
  4. Step 4: Simplify right side
    523,345.17x = 212,295,431,053.03
  5. Step 5: Solve for x
    x = 212,295,431,053.03/523,345.17
  6. Step 6: Final answer
    x = 405,650.88

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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.