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Finding the Fourth Proportional to 511,046.40, 766,861.20 and 195,729.60

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Solution

The fourth proportional to 511,046.40, 766,861.20 and 195,729.60 is: 293,706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,046.40 : 766,861.20 = 195,729.60 : x
  2. Step 2: Convert to fraction form
    511,046.40/766,861.20 = 195,729.60/x
  3. Step 3: Cross multiply
    511,046.40x = 766,861.20 × 195,729.60
  4. Step 4: Simplify right side
    511,046.40x = 150,097,435,931.52
  5. Step 5: Solve for x
    x = 150,097,435,931.52/511,046.40
  6. Step 6: Final answer
    x = 293,706.08

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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.