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Finding the Fourth Proportional to 497,493.39, 746,006.76 and 181,729.47

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Solution

The fourth proportional to 497,493.39, 746,006.76 and 181,729.47 is: 272,508.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,493.39 : 746,006.76 = 181,729.47 : x
  2. Step 2: Convert to fraction form
    497,493.39/746,006.76 = 181,729.47/x
  3. Step 3: Cross multiply
    497,493.39x = 746,006.76 × 181,729.47
  4. Step 4: Simplify right side
    497,493.39x = 135,571,413,111.22
  5. Step 5: Solve for x
    x = 135,571,413,111.22/497,493.39
  6. Step 6: Final answer
    x = 272,508.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.