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Finding the Fourth Proportional to 511,445.44, 767,198.89 and 156,462.54

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Solution

The fourth proportional to 511,445.44, 767,198.89 and 156,462.54 is: 234,703.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,445.44 : 767,198.89 = 156,462.54 : x
  2. Step 2: Convert to fraction form
    511,445.44/767,198.89 = 156,462.54/x
  3. Step 3: Cross multiply
    511,445.44x = 767,198.89 × 156,462.54
  4. Step 4: Simplify right side
    511,445.44x = 120,037,884,333.16
  5. Step 5: Solve for x
    x = 120,037,884,333.16/511,445.44
  6. Step 6: Final answer
    x = 234,703.21

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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.