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Finding the Fourth Proportional to 284,290.88, 425,384.04 and 227,958.80

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Solution

The fourth proportional to 284,290.88, 425,384.04 and 227,958.80 is: 341,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,290.88 : 425,384.04 = 227,958.80 : x
  2. Step 2: Convert to fraction form
    284,290.88/425,384.04 = 227,958.80/x
  3. Step 3: Cross multiply
    284,290.88x = 425,384.04 × 227,958.80
  4. Step 4: Simplify right side
    284,290.88x = 96,970,035,297.55
  5. Step 5: Solve for x
    x = 96,970,035,297.55/284,290.88
  6. Step 6: Final answer
    x = 341,094.43

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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.