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Finding the Fourth Proportional to 510,335.34, 765,505.08 and 206,735.24

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Solution

The fourth proportional to 510,335.34, 765,505.08 and 206,735.24 is: 310,103.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,335.34 : 765,505.08 = 206,735.24 : x
  2. Step 2: Convert to fraction form
    510,335.34/765,505.08 = 206,735.24/x
  3. Step 3: Cross multiply
    510,335.34x = 765,505.08 × 206,735.24
  4. Step 4: Simplify right side
    510,335.34x = 158,256,876,435.02
  5. Step 5: Solve for x
    x = 158,256,876,435.02/510,335.34
  6. Step 6: Final answer
    x = 310,103.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.