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Finding the Fourth Proportional to 322,307.82, 482,797.42 and 188,783.26

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Solution

The fourth proportional to 322,307.82, 482,797.42 and 188,783.26 is: 282,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,307.82 : 482,797.42 = 188,783.26 : x
  2. Step 2: Convert to fraction form
    322,307.82/482,797.42 = 188,783.26/x
  3. Step 3: Cross multiply
    322,307.82x = 482,797.42 × 188,783.26
  4. Step 4: Simplify right side
    322,307.82x = 91,144,069,188.24
  5. Step 5: Solve for x
    x = 91,144,069,188.24/322,307.82
  6. Step 6: Final answer
    x = 282,785.78

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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.