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Finding the Fourth Proportional to 418,824.73, 577,977.69 and 227,837.67

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Solution

The fourth proportional to 418,824.73, 577,977.69 and 227,837.67 is: 314,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,824.73 : 577,977.69 = 227,837.67 : x
  2. Step 2: Convert to fraction form
    418,824.73/577,977.69 = 227,837.67/x
  3. Step 3: Cross multiply
    418,824.73x = 577,977.69 × 227,837.67
  4. Step 4: Simplify right side
    418,824.73x = 131,685,090,201.58
  5. Step 5: Solve for x
    x = 131,685,090,201.58/418,824.73
  6. Step 6: Final answer
    x = 314,415.75

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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.