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Finding the Fourth Proportional to 599,384.81, 827,151.04 and 331,112.81

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Solution

The fourth proportional to 599,384.81, 827,151.04 and 331,112.81 is: 456,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,384.81 : 827,151.04 = 331,112.81 : x
  2. Step 2: Convert to fraction form
    599,384.81/827,151.04 = 331,112.81/x
  3. Step 3: Cross multiply
    599,384.81x = 827,151.04 × 331,112.81
  4. Step 4: Simplify right side
    599,384.81x = 273,880,307,630.59
  5. Step 5: Solve for x
    x = 273,880,307,630.59/599,384.81
  6. Step 6: Final answer
    x = 456,935.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.