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Finding the Fourth Proportional to 340,519.28, 510,696.72 and 150,874.80

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Solution

The fourth proportional to 340,519.28, 510,696.72 and 150,874.80 is: 226,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,519.28 : 510,696.72 = 150,874.80 : x
  2. Step 2: Convert to fraction form
    340,519.28/510,696.72 = 150,874.80/x
  3. Step 3: Cross multiply
    340,519.28x = 510,696.72 × 150,874.80
  4. Step 4: Simplify right side
    340,519.28x = 77,051,265,490.66
  5. Step 5: Solve for x
    x = 77,051,265,490.66/340,519.28
  6. Step 6: Final answer
    x = 226,275.78

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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.