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Finding the Fourth Proportional to 497,564.47, 746,133.47 and 231,297.22

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Solution

The fourth proportional to 497,564.47, 746,133.47 and 231,297.22 is: 346,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,564.47 : 746,133.47 = 231,297.22 : x
  2. Step 2: Convert to fraction form
    497,564.47/746,133.47 = 231,297.22/x
  3. Step 3: Cross multiply
    497,564.47x = 746,133.47 × 231,297.22
  4. Step 4: Simplify right side
    497,564.47x = 172,578,599,304.55
  5. Step 5: Solve for x
    x = 172,578,599,304.55/497,564.47
  6. Step 6: Final answer
    x = 346,846.71

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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.