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Finding the Fourth Proportional to 510,714, 766,217.16 and 173,828.88

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Solution

The fourth proportional to 510,714, 766,217.16 and 173,828.88 is: 260,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,714 : 766,217.16 = 173,828.88 : x
  2. Step 2: Convert to fraction form
    510,714/766,217.16 = 173,828.88/x
  3. Step 3: Cross multiply
    510,714x = 766,217.16 × 173,828.88
  4. Step 4: Simplify right side
    510,714x = 133,190,670,759.58
  5. Step 5: Solve for x
    x = 133,190,670,759.58/510,714
  6. Step 6: Final answer
    x = 260,793.07

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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.