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Finding the Fourth Proportional to 511,414.36, 767,532.42 and 230,956.12

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Solution

The fourth proportional to 511,414.36, 767,532.42 and 230,956.12 is: 346,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,414.36 : 767,532.42 = 230,956.12 : x
  2. Step 2: Convert to fraction form
    511,414.36/767,532.42 = 230,956.12/x
  3. Step 3: Cross multiply
    511,414.36x = 767,532.42 × 230,956.12
  4. Step 4: Simplify right side
    511,414.36x = 177,266,309,697.41
  5. Step 5: Solve for x
    x = 177,266,309,697.41/511,414.36
  6. Step 6: Final answer
    x = 346,619.73

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1.5x scale

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.