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Finding the Fourth Proportional to 510,576.42, 765,864.27 and 229,765.62

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Solution

The fourth proportional to 510,576.42, 765,864.27 and 229,765.62 is: 344,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,576.42 : 765,864.27 = 229,765.62 : x
  2. Step 2: Convert to fraction form
    510,576.42/765,864.27 = 229,765.62/x
  3. Step 3: Cross multiply
    510,576.42x = 765,864.27 × 229,765.62
  4. Step 4: Simplify right side
    510,576.42x = 175,969,278,832.40
  5. Step 5: Solve for x
    x = 175,969,278,832.40/510,576.42
  6. Step 6: Final answer
    x = 344,648.27

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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.