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Finding the Fourth Proportional to 538,689.74, 743,372.71 and 293,669.44

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Solution

The fourth proportional to 538,689.74, 743,372.71 and 293,669.44 is: 405,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,689.74 : 743,372.71 = 293,669.44 : x
  2. Step 2: Convert to fraction form
    538,689.74/743,372.71 = 293,669.44/x
  3. Step 3: Cross multiply
    538,689.74x = 743,372.71 × 293,669.44
  4. Step 4: Simplify right side
    538,689.74x = 218,305,844,864.38
  5. Step 5: Solve for x
    x = 218,305,844,864.38/538,689.74
  6. Step 6: Final answer
    x = 405,253.39

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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.