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Finding the Fourth Proportional to 494,316.97, 741,475.46 and 157,356.16

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Solution

The fourth proportional to 494,316.97, 741,475.46 and 157,356.16 is: 236,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,316.97 : 741,475.46 = 157,356.16 : x
  2. Step 2: Convert to fraction form
    494,316.97/741,475.46 = 157,356.16/x
  3. Step 3: Cross multiply
    494,316.97x = 741,475.46 × 157,356.16
  4. Step 4: Simplify right side
    494,316.97x = 116,675,728,479.36
  5. Step 5: Solve for x
    x = 116,675,728,479.36/494,316.97
  6. Step 6: Final answer
    x = 236,034.24

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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.