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Finding the Fourth Proportional to 418,075.44, 576,954.84 and 227,099.76

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Solution

The fourth proportional to 418,075.44, 576,954.84 and 227,099.76 is: 313,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,075.44 : 576,954.84 = 227,099.76 : x
  2. Step 2: Convert to fraction form
    418,075.44/576,954.84 = 227,099.76/x
  3. Step 3: Cross multiply
    418,075.44x = 576,954.84 × 227,099.76
  4. Step 4: Simplify right side
    418,075.44x = 131,026,305,694.84
  5. Step 5: Solve for x
    x = 131,026,305,694.84/418,075.44
  6. Step 6: Final answer
    x = 313,403.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.