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Finding the Fourth Proportional to 418,408.84, 577,379.76 and 227,420.56

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Solution

The fourth proportional to 418,408.84, 577,379.76 and 227,420.56 is: 313,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,408.84 : 577,379.76 = 227,420.56 : x
  2. Step 2: Convert to fraction form
    418,408.84/577,379.76 = 227,420.56/x
  3. Step 3: Cross multiply
    418,408.84x = 577,379.76 × 227,420.56
  4. Step 4: Simplify right side
    418,408.84x = 131,308,028,351.87
  5. Step 5: Solve for x
    x = 131,308,028,351.87/418,408.84
  6. Step 6: Final answer
    x = 313,827.09

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