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Finding the Fourth Proportional to 418,733.84, 577,855.40 and 227,748.56

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Solution

The fourth proportional to 418,733.84, 577,855.40 and 227,748.56 is: 314,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,733.84 : 577,855.40 = 227,748.56 : x
  2. Step 2: Convert to fraction form
    418,733.84/577,855.40 = 227,748.56/x
  3. Step 3: Cross multiply
    418,733.84x = 577,855.40 × 227,748.56
  4. Step 4: Simplify right side
    418,733.84x = 131,605,735,238.22
  5. Step 5: Solve for x
    x = 131,605,735,238.22/418,733.84
  6. Step 6: Final answer
    x = 314,294.48

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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.