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Finding the Fourth Proportional to 523,342.17, 722,229.62 and 293,939.82

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Solution

The fourth proportional to 523,342.17, 722,229.62 and 293,939.82 is: 405,646.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,342.17 : 722,229.62 = 293,939.82 : x
  2. Step 2: Convert to fraction form
    523,342.17/722,229.62 = 293,939.82/x
  3. Step 3: Cross multiply
    523,342.17x = 722,229.62 × 293,939.82
  4. Step 4: Simplify right side
    523,342.17x = 212,292,043,031.77
  5. Step 5: Solve for x
    x = 212,292,043,031.77/523,342.17
  6. Step 6: Final answer
    x = 405,646.74

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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.