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Finding the Fourth Proportional to 418,660.38, 577,727.64 and 227,673.72

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Solution

The fourth proportional to 418,660.38, 577,727.64 and 227,673.72 is: 314,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,660.38 : 577,727.64 = 227,673.72 : x
  2. Step 2: Convert to fraction form
    418,660.38/577,727.64 = 227,673.72/x
  3. Step 3: Cross multiply
    418,660.38x = 577,727.64 × 227,673.72
  4. Step 4: Simplify right side
    418,660.38x = 131,533,400,945.62
  5. Step 5: Solve for x
    x = 131,533,400,945.62/418,660.38
  6. Step 6: Final answer
    x = 314,176.85

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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.