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Finding the Fourth Proportional to 512,779.51, 769,202.07 and 197,236.42

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Solution

The fourth proportional to 512,779.51, 769,202.07 and 197,236.42 is: 295,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,779.51 : 769,202.07 = 197,236.42 : x
  2. Step 2: Convert to fraction form
    512,779.51/769,202.07 = 197,236.42/x
  3. Step 3: Cross multiply
    512,779.51x = 769,202.07 × 197,236.42
  4. Step 4: Simplify right side
    512,779.51x = 151,714,660,990.20
  5. Step 5: Solve for x
    x = 151,714,660,990.20/512,779.51
  6. Step 6: Final answer
    x = 295,867.24

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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.