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Finding the Fourth Proportional to 418,880.32, 578,052.21 and 227,894.56

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Solution

The fourth proportional to 418,880.32, 578,052.21 and 227,894.56 is: 314,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,880.32 : 578,052.21 = 227,894.56 : x
  2. Step 2: Convert to fraction form
    418,880.32/578,052.21 = 227,894.56/x
  3. Step 3: Cross multiply
    418,880.32x = 578,052.21 × 227,894.56
  4. Step 4: Simplify right side
    418,880.32x = 131,734,954,054.98
  5. Step 5: Solve for x
    x = 131,734,954,054.98/418,880.32
  6. Step 6: Final answer
    x = 314,493.06

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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.