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Finding the Fourth Proportional to 510,833.88, 765,774.46 and 173,644.10

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Solution

The fourth proportional to 510,833.88, 765,774.46 and 173,644.10 is: 260,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,833.88 : 765,774.46 = 173,644.10 : x
  2. Step 2: Convert to fraction form
    510,833.88/765,774.46 = 173,644.10/x
  3. Step 3: Cross multiply
    510,833.88x = 765,774.46 × 173,644.10
  4. Step 4: Simplify right side
    510,833.88x = 132,972,216,909.69
  5. Step 5: Solve for x
    x = 132,972,216,909.69/510,833.88
  6. Step 6: Final answer
    x = 260,304.22

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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.