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Finding the Fourth Proportional to 340,178.26, 510,382.70 and 150,612.48

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Solution

The fourth proportional to 340,178.26, 510,382.70 and 150,612.48 is: 225,969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,178.26 : 510,382.70 = 150,612.48 : x
  2. Step 2: Convert to fraction form
    340,178.26/510,382.70 = 150,612.48/x
  3. Step 3: Cross multiply
    340,178.26x = 510,382.70 × 150,612.48
  4. Step 4: Simplify right side
    340,178.26x = 76,870,004,196.10
  5. Step 5: Solve for x
    x = 76,870,004,196.10/340,178.26
  6. Step 6: Final answer
    x = 225,969.77

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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.