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Finding the Fourth Proportional to 418,791.77, 577,930.02 and 227,805.92

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Solution

The fourth proportional to 418,791.77, 577,930.02 and 227,805.92 is: 314,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,791.77 : 577,930.02 = 227,805.92 : x
  2. Step 2: Convert to fraction form
    418,791.77/577,930.02 = 227,805.92/x
  3. Step 3: Cross multiply
    418,791.77x = 577,930.02 × 227,805.92
  4. Step 4: Simplify right side
    418,791.77x = 131,655,879,901.72
  5. Step 5: Solve for x
    x = 131,655,879,901.72/418,791.77
  6. Step 6: Final answer
    x = 314,370.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.