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Finding the Fourth Proportional to 466,857.72, 644,561.59 and 381,021.75

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Solution

The fourth proportional to 466,857.72, 644,561.59 and 381,021.75 is: 526,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,857.72 : 644,561.59 = 381,021.75 : x
  2. Step 2: Convert to fraction form
    466,857.72/644,561.59 = 381,021.75/x
  3. Step 3: Cross multiply
    466,857.72x = 644,561.59 × 381,021.75
  4. Step 4: Simplify right side
    466,857.72x = 245,591,984,052.03
  5. Step 5: Solve for x
    x = 245,591,984,052.03/466,857.72
  6. Step 6: Final answer
    x = 526,053.17

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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.