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Finding the Fourth Proportional to 418,811.36, 577,959.23 and 227,824.29

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Solution

The fourth proportional to 418,811.36, 577,959.23 and 227,824.29 is: 314,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,811.36 : 577,959.23 = 227,824.29 : x
  2. Step 2: Convert to fraction form
    418,811.36/577,959.23 = 227,824.29/x
  3. Step 3: Cross multiply
    418,811.36x = 577,959.23 × 227,824.29
  4. Step 4: Simplify right side
    418,811.36x = 131,673,151,793.26
  5. Step 5: Solve for x
    x = 131,673,151,793.26/418,811.36
  6. Step 6: Final answer
    x = 314,397.28

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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.