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Finding the Fourth Proportional to 510,080.20, 765,120.30 and 451,031.20

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Solution

The fourth proportional to 510,080.20, 765,120.30 and 451,031.20 is: 676,546.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,080.20 : 765,120.30 = 451,031.20 : x
  2. Step 2: Convert to fraction form
    510,080.20/765,120.30 = 451,031.20/x
  3. Step 3: Cross multiply
    510,080.20x = 765,120.30 × 451,031.20
  4. Step 4: Simplify right side
    510,080.20x = 345,093,127,053.36
  5. Step 5: Solve for x
    x = 345,093,127,053.36/510,080.20
  6. Step 6: Final answer
    x = 676,546.80

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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.