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Finding the Fourth Proportional to 512,233.20, 768,349.80 and 232,297.20

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Solution

The fourth proportional to 512,233.20, 768,349.80 and 232,297.20 is: 348,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,233.20 : 768,349.80 = 232,297.20 : x
  2. Step 2: Convert to fraction form
    512,233.20/768,349.80 = 232,297.20/x
  3. Step 3: Cross multiply
    512,233.20x = 768,349.80 × 232,297.20
  4. Step 4: Simplify right side
    512,233.20x = 178,485,507,160.56
  5. Step 5: Solve for x
    x = 178,485,507,160.56/512,233.20
  6. Step 6: Final answer
    x = 348,445.80

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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.