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Finding the Fourth Proportional to 582,531.35, 874,007.42 and 203,508.05

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Solution

The fourth proportional to 582,531.35, 874,007.42 and 203,508.05 is: 305,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,531.35 : 874,007.42 = 203,508.05 : x
  2. Step 2: Convert to fraction form
    582,531.35/874,007.42 = 203,508.05/x
  3. Step 3: Cross multiply
    582,531.35x = 874,007.42 × 203,508.05
  4. Step 4: Simplify right side
    582,531.35x = 177,867,540,342.15
  5. Step 5: Solve for x
    x = 177,867,540,342.15/582,531.35
  6. Step 6: Final answer
    x = 305,335.57

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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.