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Finding the Fourth Proportional to 399,034.80, 599,243.40 and 212,410.80

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Solution

The fourth proportional to 399,034.80, 599,243.40 and 212,410.80 is: 318,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,034.80 : 599,243.40 = 212,410.80 : x
  2. Step 2: Convert to fraction form
    399,034.80/599,243.40 = 212,410.80/x
  3. Step 3: Cross multiply
    399,034.80x = 599,243.40 × 212,410.80
  4. Step 4: Simplify right side
    399,034.80x = 127,285,769,988.72
  5. Step 5: Solve for x
    x = 127,285,769,988.72/399,034.80
  6. Step 6: Final answer
    x = 318,984.13

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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.