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Finding the Fourth Proportional to 510,475.68, 765,884.02 and 226,127.60

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Solution

The fourth proportional to 510,475.68, 765,884.02 and 226,127.60 is: 339,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,475.68 : 765,884.02 = 226,127.60 : x
  2. Step 2: Convert to fraction form
    510,475.68/765,884.02 = 226,127.60/x
  3. Step 3: Cross multiply
    510,475.68x = 765,884.02 × 226,127.60
  4. Step 4: Simplify right side
    510,475.68x = 173,187,515,320.95
  5. Step 5: Solve for x
    x = 173,187,515,320.95/510,475.68
  6. Step 6: Final answer
    x = 339,266.93

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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.