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Finding the Fourth Proportional to 494,375.64, 741,532.01 and 157,657.83

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Solution

The fourth proportional to 494,375.64, 741,532.01 and 157,657.83 is: 236,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,375.64 : 741,532.01 = 157,657.83 : x
  2. Step 2: Convert to fraction form
    494,375.64/741,532.01 = 157,657.83/x
  3. Step 3: Cross multiply
    494,375.64x = 741,532.01 × 157,657.83
  4. Step 4: Simplify right side
    494,375.64x = 116,908,323,076.19
  5. Step 5: Solve for x
    x = 116,908,323,076.19/494,375.64
  6. Step 6: Final answer
    x = 236,476.71

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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.