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Finding the Fourth Proportional to 472,358, 652,086.75 and 327,273.79

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Solution

The fourth proportional to 472,358, 652,086.75 and 327,273.79 is: 451,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,358 : 652,086.75 = 327,273.79 : x
  2. Step 2: Convert to fraction form
    472,358/652,086.75 = 327,273.79/x
  3. Step 3: Cross multiply
    472,358x = 652,086.75 × 327,273.79
  4. Step 4: Simplify right side
    472,358x = 213,410,902,081.28
  5. Step 5: Solve for x
    x = 213,410,902,081.28/472,358
  6. Step 6: Final answer
    x = 451,799.06

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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.