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Finding the Fourth Proportional to 511,065.40, 766,889.70 and 195,748.60

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Solution

The fourth proportional to 511,065.40, 766,889.70 and 195,748.60 is: 293,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,065.40 : 766,889.70 = 195,748.60 : x
  2. Step 2: Convert to fraction form
    511,065.40/766,889.70 = 195,748.60/x
  3. Step 3: Cross multiply
    511,065.40x = 766,889.70 × 195,748.60
  4. Step 4: Simplify right side
    511,065.40x = 150,117,585,129.42
  5. Step 5: Solve for x
    x = 150,117,585,129.42/511,065.40
  6. Step 6: Final answer
    x = 293,734.59

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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.