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Finding the Fourth Proportional to 399,314.40, 598,825.80 and 133,083.60

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Solution

The fourth proportional to 399,314.40, 598,825.80 and 133,083.60 is: 199,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,314.40 : 598,825.80 = 133,083.60 : x
  2. Step 2: Convert to fraction form
    399,314.40/598,825.80 = 133,083.60/x
  3. Step 3: Cross multiply
    399,314.40x = 598,825.80 × 133,083.60
  4. Step 4: Simplify right side
    399,314.40x = 79,693,893,236.88
  5. Step 5: Solve for x
    x = 79,693,893,236.88/399,314.40
  6. Step 6: Final answer
    x = 199,576.81

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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.