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Finding the Fourth Proportional to 512,584.56, 707,363.87 and 283,157.60

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Solution

The fourth proportional to 512,584.56, 707,363.87 and 283,157.60 is: 390,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,584.56 : 707,363.87 = 283,157.60 : x
  2. Step 2: Convert to fraction form
    512,584.56/707,363.87 = 283,157.60/x
  3. Step 3: Cross multiply
    512,584.56x = 707,363.87 × 283,157.60
  4. Step 4: Simplify right side
    512,584.56x = 200,295,450,803.31
  5. Step 5: Solve for x
    x = 200,295,450,803.31/512,584.56
  6. Step 6: Final answer
    x = 390,755.92

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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.