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Finding the Fourth Proportional to 511,817.18, 767,698.07 and 156,832.25

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Solution

The fourth proportional to 511,817.18, 767,698.07 and 156,832.25 is: 235,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,817.18 : 767,698.07 = 156,832.25 : x
  2. Step 2: Convert to fraction form
    511,817.18/767,698.07 = 156,832.25/x
  3. Step 3: Cross multiply
    511,817.18x = 767,698.07 × 156,832.25
  4. Step 4: Simplify right side
    511,817.18x = 120,399,811,016.11
  5. Step 5: Solve for x
    x = 120,399,811,016.11/511,817.18
  6. Step 6: Final answer
    x = 235,239.88

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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.