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Finding the Fourth Proportional to 426,761.94, 588,924.60 and 233,165.49

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Solution

The fourth proportional to 426,761.94, 588,924.60 and 233,165.49 is: 321,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,761.94 : 588,924.60 = 233,165.49 : x
  2. Step 2: Convert to fraction form
    426,761.94/588,924.60 = 233,165.49/x
  3. Step 3: Cross multiply
    426,761.94x = 588,924.60 × 233,165.49
  4. Step 4: Simplify right side
    426,761.94x = 137,316,891,766.23
  5. Step 5: Solve for x
    x = 137,316,891,766.23/426,761.94
  6. Step 6: Final answer
    x = 321,764.62

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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.