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Finding the Fourth Proportional to 498,264.69, 746,273.22 and 231,463.72

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Solution

The fourth proportional to 498,264.69, 746,273.22 and 231,463.72 is: 346,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,264.69 : 746,273.22 = 231,463.72 : x
  2. Step 2: Convert to fraction form
    498,264.69/746,273.22 = 231,463.72/x
  3. Step 3: Cross multiply
    498,264.69x = 746,273.22 × 231,463.72
  4. Step 4: Simplify right side
    498,264.69x = 172,735,175,637.58
  5. Step 5: Solve for x
    x = 172,735,175,637.58/498,264.69
  6. Step 6: Final answer
    x = 346,673.52

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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.