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Finding the Fourth Proportional to 531,727.88, 733,761.06 and 290,005.52

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Solution

The fourth proportional to 531,727.88, 733,761.06 and 290,005.52 is: 400,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,727.88 : 733,761.06 = 290,005.52 : x
  2. Step 2: Convert to fraction form
    531,727.88/733,761.06 = 290,005.52/x
  3. Step 3: Cross multiply
    531,727.88x = 733,761.06 × 290,005.52
  4. Step 4: Simplify right side
    531,727.88x = 212,794,757,761.05
  5. Step 5: Solve for x
    x = 212,794,757,761.05/531,727.88
  6. Step 6: Final answer
    x = 400,194.85

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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.