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Finding the Fourth Proportional to 418,340.10, 577,293.09 and 227,349.39

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Solution

The fourth proportional to 418,340.10, 577,293.09 and 227,349.39 is: 313,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,340.10 : 577,293.09 = 227,349.39 : x
  2. Step 2: Convert to fraction form
    418,340.10/577,293.09 = 227,349.39/x
  3. Step 3: Cross multiply
    418,340.10x = 577,293.09 × 227,349.39
  4. Step 4: Simplify right side
    418,340.10x = 131,247,231,862.72
  5. Step 5: Solve for x
    x = 131,247,231,862.72/418,340.10
  6. Step 6: Final answer
    x = 313,733.33

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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.