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Finding the Fourth Proportional to 531,198, 733,053.24 and 292,734

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Solution

The fourth proportional to 531,198, 733,053.24 and 292,734 is: 403,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,198 : 733,053.24 = 292,734 : x
  2. Step 2: Convert to fraction form
    531,198/733,053.24 = 292,734/x
  3. Step 3: Cross multiply
    531,198x = 733,053.24 × 292,734
  4. Step 4: Simplify right side
    531,198x = 214,589,607,158.16
  5. Step 5: Solve for x
    x = 214,589,607,158.16/531,198
  6. Step 6: Final answer
    x = 403,972.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.