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Finding the Fourth Proportional to 510,256.25, 765,857.30 and 257,714.09

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Solution

The fourth proportional to 510,256.25, 765,857.30 and 257,714.09 is: 386,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,256.25 : 765,857.30 = 257,714.09 : x
  2. Step 2: Convert to fraction form
    510,256.25/765,857.30 = 257,714.09/x
  3. Step 3: Cross multiply
    510,256.25x = 765,857.30 × 257,714.09
  4. Step 4: Simplify right side
    510,256.25x = 197,372,212,021.50
  5. Step 5: Solve for x
    x = 197,372,212,021.50/510,256.25
  6. Step 6: Final answer
    x = 386,809.99

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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.