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Finding the Fourth Proportional to 497,718.97, 686,832.40 and 293,835.58

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Solution

The fourth proportional to 497,718.97, 686,832.40 and 293,835.58 is: 405,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,718.97 : 686,832.40 = 293,835.58 : x
  2. Step 2: Convert to fraction form
    497,718.97/686,832.40 = 293,835.58/x
  3. Step 3: Cross multiply
    497,718.97x = 686,832.40 × 293,835.58
  4. Step 4: Simplify right side
    497,718.97x = 201,815,796,616.79
  5. Step 5: Solve for x
    x = 201,815,796,616.79/497,718.97
  6. Step 6: Final answer
    x = 405,481.42

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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.