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Finding the Fourth Proportional to 415,776.25, 573,736.86 and 234,532.73

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Solution

The fourth proportional to 415,776.25, 573,736.86 and 234,532.73 is: 323,635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,776.25 : 573,736.86 = 234,532.73 : x
  2. Step 2: Convert to fraction form
    415,776.25/573,736.86 = 234,532.73/x
  3. Step 3: Cross multiply
    415,776.25x = 573,736.86 × 234,532.73
  4. Step 4: Simplify right side
    415,776.25x = 134,560,069,208.74
  5. Step 5: Solve for x
    x = 134,560,069,208.74/415,776.25
  6. Step 6: Final answer
    x = 323,635.77

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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.