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Finding the Fourth Proportional to 313,244.52, 432,277.26 and 177,276

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Solution

The fourth proportional to 313,244.52, 432,277.26 and 177,276 is: 244,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,244.52 : 432,277.26 = 177,276 : x
  2. Step 2: Convert to fraction form
    313,244.52/432,277.26 = 177,276/x
  3. Step 3: Cross multiply
    313,244.52x = 432,277.26 × 177,276
  4. Step 4: Simplify right side
    313,244.52x = 76,632,383,543.76
  5. Step 5: Solve for x
    x = 76,632,383,543.76/313,244.52
  6. Step 6: Final answer
    x = 244,640.78

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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.