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Finding the Fourth Proportional to 511,369.75, 767,165.36 and 195,826.68

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Solution

The fourth proportional to 511,369.75, 767,165.36 and 195,826.68 is: 293,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,369.75 : 767,165.36 = 195,826.68 : x
  2. Step 2: Convert to fraction form
    511,369.75/767,165.36 = 195,826.68/x
  3. Step 3: Cross multiply
    511,369.75x = 767,165.36 × 195,826.68
  4. Step 4: Simplify right side
    511,369.75x = 150,231,445,459.81
  5. Step 5: Solve for x
    x = 150,231,445,459.81/511,369.75
  6. Step 6: Final answer
    x = 293,782.43

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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.