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Finding the Fourth Proportional to 494,583.06, 741,860.67 and 157,643.91

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Solution

The fourth proportional to 494,583.06, 741,860.67 and 157,643.91 is: 236,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,583.06 : 741,860.67 = 157,643.91 : x
  2. Step 2: Convert to fraction form
    494,583.06/741,860.67 = 157,643.91/x
  3. Step 3: Cross multiply
    494,583.06x = 741,860.67 × 157,643.91
  4. Step 4: Simplify right side
    494,583.06x = 116,949,816,694.02
  5. Step 5: Solve for x
    x = 116,949,816,694.02/494,583.06
  6. Step 6: Final answer
    x = 236,461.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.