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Finding the Fourth Proportional to 510,296.37, 765,616.75 and 225,948.10

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Solution

The fourth proportional to 510,296.37, 765,616.75 and 225,948.10 is: 338,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,296.37 : 765,616.75 = 225,948.10 : x
  2. Step 2: Convert to fraction form
    510,296.37/765,616.75 = 225,948.10/x
  3. Step 3: Cross multiply
    510,296.37x = 765,616.75 × 225,948.10
  4. Step 4: Simplify right side
    510,296.37x = 172,989,649,990.68
  5. Step 5: Solve for x
    x = 172,989,649,990.68/510,296.37
  6. Step 6: Final answer
    x = 338,998.39

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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.