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Finding the Fourth Proportional to 418,272.34, 577,219 and 227,286.76

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Solution

The fourth proportional to 418,272.34, 577,219 and 227,286.76 is: 313,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,272.34 : 577,219 = 227,286.76 : x
  2. Step 2: Convert to fraction form
    418,272.34/577,219 = 227,286.76/x
  3. Step 3: Cross multiply
    418,272.34x = 577,219 × 227,286.76
  4. Step 4: Simplify right side
    418,272.34x = 131,194,236,320.44
  5. Step 5: Solve for x
    x = 131,194,236,320.44/418,272.34
  6. Step 6: Final answer
    x = 313,657.45

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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.