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Finding the Fourth Proportional to 418,208.49, 577,132.97 and 227,225.07

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Solution

The fourth proportional to 418,208.49, 577,132.97 and 227,225.07 is: 313,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,208.49 : 577,132.97 = 227,225.07 : x
  2. Step 2: Convert to fraction form
    418,208.49/577,132.97 = 227,225.07/x
  3. Step 3: Cross multiply
    418,208.49x = 577,132.97 × 227,225.07
  4. Step 4: Simplify right side
    418,208.49x = 131,139,078,371.43
  5. Step 5: Solve for x
    x = 131,139,078,371.43/418,208.49
  6. Step 6: Final answer
    x = 313,573.45

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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.