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Finding the Fourth Proportional to 418,133.16, 577,020.60 and 227,147.94

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Solution

The fourth proportional to 418,133.16, 577,020.60 and 227,147.94 is: 313,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,133.16 : 577,020.60 = 227,147.94 : x
  2. Step 2: Convert to fraction form
    418,133.16/577,020.60 = 227,147.94/x
  3. Step 3: Cross multiply
    418,133.16x = 577,020.60 × 227,147.94
  4. Step 4: Simplify right side
    418,133.16x = 131,069,040,627.56
  5. Step 5: Solve for x
    x = 131,069,040,627.56/418,133.16
  6. Step 6: Final answer
    x = 313,462.44

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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.