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Finding the Fourth Proportional to 511,064.40, 766,888.20 and 195,747.60

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Solution

The fourth proportional to 511,064.40, 766,888.20 and 195,747.60 is: 293,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,064.40 : 766,888.20 = 195,747.60 : x
  2. Step 2: Convert to fraction form
    511,064.40/766,888.20 = 195,747.60/x
  3. Step 3: Cross multiply
    511,064.40x = 766,888.20 × 195,747.60
  4. Step 4: Simplify right side
    511,064.40x = 150,116,524,618.32
  5. Step 5: Solve for x
    x = 150,116,524,618.32/511,064.40
  6. Step 6: Final answer
    x = 293,733.09

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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.