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Finding the Fourth Proportional to 340,200.95, 510,416.13 and 150,635.43

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Solution

The fourth proportional to 340,200.95, 510,416.13 and 150,635.43 is: 226,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,200.95 : 510,416.13 = 150,635.43 : x
  2. Step 2: Convert to fraction form
    340,200.95/510,416.13 = 150,635.43/x
  3. Step 3: Cross multiply
    340,200.95x = 510,416.13 × 150,635.43
  4. Step 4: Simplify right side
    340,200.95x = 76,886,753,786.37
  5. Step 5: Solve for x
    x = 76,886,753,786.37/340,200.95
  6. Step 6: Final answer
    x = 226,003.94

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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.