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Finding the Fourth Proportional to 538,672.10, 808,003.15 and 206,248.10

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Solution

The fourth proportional to 538,672.10, 808,003.15 and 206,248.10 is: 309,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,672.10 : 808,003.15 = 206,248.10 : x
  2. Step 2: Convert to fraction form
    538,672.10/808,003.15 = 206,248.10/x
  3. Step 3: Cross multiply
    538,672.10x = 808,003.15 × 206,248.10
  4. Step 4: Simplify right side
    538,672.10x = 166,649,114,481.52
  5. Step 5: Solve for x
    x = 166,649,114,481.52/538,672.10
  6. Step 6: Final answer
    x = 309,370.24

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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.