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Finding the Fourth Proportional to 444,704.80, 613,278 and 411,678.40

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Solution

The fourth proportional to 444,704.80, 613,278 and 411,678.40 is: 567,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,704.80 : 613,278 = 411,678.40 : x
  2. Step 2: Convert to fraction form
    444,704.80/613,278 = 411,678.40/x
  3. Step 3: Cross multiply
    444,704.80x = 613,278 × 411,678.40
  4. Step 4: Simplify right side
    444,704.80x = 252,473,305,795.20
  5. Step 5: Solve for x
    x = 252,473,305,795.20/444,704.80
  6. Step 6: Final answer
    x = 567,732.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.