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Finding the Fourth Proportional to 522,397.62, 783,023.31 and 269,697.06

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Solution

The fourth proportional to 522,397.62, 783,023.31 and 269,697.06 is: 404,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,397.62 : 783,023.31 = 269,697.06 : x
  2. Step 2: Convert to fraction form
    522,397.62/783,023.31 = 269,697.06/x
  3. Step 3: Cross multiply
    522,397.62x = 783,023.31 × 269,697.06
  4. Step 4: Simplify right side
    522,397.62x = 211,179,084,618.47
  5. Step 5: Solve for x
    x = 211,179,084,618.47/522,397.62
  6. Step 6: Final answer
    x = 404,249.71

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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.