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Finding the Fourth Proportional to 334,699.58, 461,114.61 and 231,234.66

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Solution

The fourth proportional to 334,699.58, 461,114.61 and 231,234.66 is: 318,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,699.58 : 461,114.61 = 231,234.66 : x
  2. Step 2: Convert to fraction form
    334,699.58/461,114.61 = 231,234.66/x
  3. Step 3: Cross multiply
    334,699.58x = 461,114.61 × 231,234.66
  4. Step 4: Simplify right side
    334,699.58x = 106,625,680,064.38
  5. Step 5: Solve for x
    x = 106,625,680,064.38/334,699.58
  6. Step 6: Final answer
    x = 318,571.30

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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.