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Finding the Fourth Proportional to 340,472.92, 510,690.18 and 150,878.68

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Solution

The fourth proportional to 340,472.92, 510,690.18 and 150,878.68 is: 226,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,472.92 : 510,690.18 = 150,878.68 : x
  2. Step 2: Convert to fraction form
    340,472.92/510,690.18 = 150,878.68/x
  3. Step 3: Cross multiply
    340,472.92x = 510,690.18 × 150,878.68
  4. Step 4: Simplify right side
    340,472.92x = 77,052,260,247.36
  5. Step 5: Solve for x
    x = 77,052,260,247.36/340,472.92
  6. Step 6: Final answer
    x = 226,309.51

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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.