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Finding the Fourth Proportional to 399,570.60, 599,354.28 and 189,356.16

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Solution

The fourth proportional to 399,570.60, 599,354.28 and 189,356.16 is: 284,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,570.60 : 599,354.28 = 189,356.16 : x
  2. Step 2: Convert to fraction form
    399,570.60/599,354.28 = 189,356.16/x
  3. Step 3: Cross multiply
    399,570.60x = 599,354.28 × 189,356.16
  4. Step 4: Simplify right side
    399,570.60x = 113,491,424,940.37
  5. Step 5: Solve for x
    x = 113,491,424,940.37/399,570.60
  6. Step 6: Final answer
    x = 284,033.47

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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.