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Finding the Fourth Proportional to 510,467.67, 765,872.01 and 226,119.60

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Solution

The fourth proportional to 510,467.67, 765,872.01 and 226,119.60 is: 339,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,467.67 : 765,872.01 = 226,119.60 : x
  2. Step 2: Convert to fraction form
    510,467.67/765,872.01 = 226,119.60/x
  3. Step 3: Cross multiply
    510,467.67x = 765,872.01 × 226,119.60
  4. Step 4: Simplify right side
    510,467.67x = 173,178,672,552.40
  5. Step 5: Solve for x
    x = 173,178,672,552.40/510,467.67
  6. Step 6: Final answer
    x = 339,254.93

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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.