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Finding the Fourth Proportional to 534,628.88, 801,846.44 and 214,767.84

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Solution

The fourth proportional to 534,628.88, 801,846.44 and 214,767.84 is: 322,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,628.88 : 801,846.44 = 214,767.84 : x
  2. Step 2: Convert to fraction form
    534,628.88/801,846.44 = 214,767.84/x
  3. Step 3: Cross multiply
    534,628.88x = 801,846.44 × 214,767.84
  4. Step 4: Simplify right side
    534,628.88x = 172,210,827,930.49
  5. Step 5: Solve for x
    x = 172,210,827,930.49/534,628.88
  6. Step 6: Final answer
    x = 322,112.84

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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.