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Finding the Fourth Proportional to 340,542.20, 510,922.65 and 150,929.30

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Solution

The fourth proportional to 340,542.20, 510,922.65 and 150,929.30 is: 226,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,542.20 : 510,922.65 = 150,929.30 : x
  2. Step 2: Convert to fraction form
    340,542.20/510,922.65 = 150,929.30/x
  3. Step 3: Cross multiply
    340,542.20x = 510,922.65 × 150,929.30
  4. Step 4: Simplify right side
    340,542.20x = 77,113,197,918.65
  5. Step 5: Solve for x
    x = 77,113,197,918.65/340,542.20
  6. Step 6: Final answer
    x = 226,442.41

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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.