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Finding the Fourth Proportional to 510,537.54, 765,889.50 and 150,744.76

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Solution

The fourth proportional to 510,537.54, 765,889.50 and 150,744.76 is: 226,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,537.54 : 765,889.50 = 150,744.76 : x
  2. Step 2: Convert to fraction form
    510,537.54/765,889.50 = 150,744.76/x
  3. Step 3: Cross multiply
    510,537.54x = 765,889.50 × 150,744.76
  4. Step 4: Simplify right side
    510,537.54x = 115,453,826,949.30
  5. Step 5: Solve for x
    x = 115,453,826,949.30/510,537.54
  6. Step 6: Final answer
    x = 226,141.70

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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.