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Finding the Fourth Proportional to 494,477.57, 741,470.94 and 157,474.28

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Solution

The fourth proportional to 494,477.57, 741,470.94 and 157,474.28 is: 236,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,477.57 : 741,470.94 = 157,474.28 : x
  2. Step 2: Convert to fraction form
    494,477.57/741,470.94 = 157,474.28/x
  3. Step 3: Cross multiply
    494,477.57x = 741,470.94 × 157,474.28
  4. Step 4: Simplify right side
    494,477.57x = 116,762,598,710.07
  5. Step 5: Solve for x
    x = 116,762,598,710.07/494,477.57
  6. Step 6: Final answer
    x = 236,133.26

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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.