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Finding the Fourth Proportional to 529,653.12, 794,229.96 and 192,456

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Solution

The fourth proportional to 529,653.12, 794,229.96 and 192,456 is: 288,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,653.12 : 794,229.96 = 192,456 : x
  2. Step 2: Convert to fraction form
    529,653.12/794,229.96 = 192,456/x
  3. Step 3: Cross multiply
    529,653.12x = 794,229.96 × 192,456
  4. Step 4: Simplify right side
    529,653.12x = 152,854,321,181.76
  5. Step 5: Solve for x
    x = 152,854,321,181.76/529,653.12
  6. Step 6: Final answer
    x = 288,593.26

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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.