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Finding the Fourth Proportional to 510,790.09, 765,659.42 and 226,614.47

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Solution

The fourth proportional to 510,790.09, 765,659.42 and 226,614.47 is: 339,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,790.09 : 765,659.42 = 226,614.47 : x
  2. Step 2: Convert to fraction form
    510,790.09/765,659.42 = 226,614.47/x
  3. Step 3: Cross multiply
    510,790.09x = 765,659.42 × 226,614.47
  4. Step 4: Simplify right side
    510,790.09x = 173,509,500,823.87
  5. Step 5: Solve for x
    x = 173,509,500,823.87/510,790.09
  6. Step 6: Final answer
    x = 339,688.47

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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.