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Finding the Fourth Proportional to 494,225.73, 741,057.75 and 194,544

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Solution

The fourth proportional to 494,225.73, 741,057.75 and 194,544 is: 291,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,225.73 : 741,057.75 = 194,544 : x
  2. Step 2: Convert to fraction form
    494,225.73/741,057.75 = 194,544/x
  3. Step 3: Cross multiply
    494,225.73x = 741,057.75 × 194,544
  4. Step 4: Simplify right side
    494,225.73x = 144,168,338,916
  5. Step 5: Solve for x
    x = 144,168,338,916/494,225.73
  6. Step 6: Final answer
    x = 291,705.45

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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.