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Finding the Fourth Proportional to 418,583.54, 577,641.09 and 227,596.94

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Solution

The fourth proportional to 418,583.54, 577,641.09 and 227,596.94 is: 314,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,583.54 : 577,641.09 = 227,596.94 : x
  2. Step 2: Convert to fraction form
    418,583.54/577,641.09 = 227,596.94/x
  3. Step 3: Cross multiply
    418,583.54x = 577,641.09 × 227,596.94
  4. Step 4: Simplify right side
    418,583.54x = 131,469,344,502.27
  5. Step 5: Solve for x
    x = 131,469,344,502.27/418,583.54
  6. Step 6: Final answer
    x = 314,081.50

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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.