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Finding the Fourth Proportional to 511,410.52, 767,201.82 and 156,341.44

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Solution

The fourth proportional to 511,410.52, 767,201.82 and 156,341.44 is: 234,538.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,410.52 : 767,201.82 = 156,341.44 : x
  2. Step 2: Convert to fraction form
    511,410.52/767,201.82 = 156,341.44/x
  3. Step 3: Cross multiply
    511,410.52x = 767,201.82 × 156,341.44
  4. Step 4: Simplify right side
    511,410.52x = 119,945,437,309.42
  5. Step 5: Solve for x
    x = 119,945,437,309.42/511,410.52
  6. Step 6: Final answer
    x = 234,538.46

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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.