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Finding the Fourth Proportional to 393,696, 590,544 and 127,679.04

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Solution

The fourth proportional to 393,696, 590,544 and 127,679.04 is: 191,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,696 : 590,544 = 127,679.04 : x
  2. Step 2: Convert to fraction form
    393,696/590,544 = 127,679.04/x
  3. Step 3: Cross multiply
    393,696x = 590,544 × 127,679.04
  4. Step 4: Simplify right side
    393,696x = 75,400,090,997.76
  5. Step 5: Solve for x
    x = 75,400,090,997.76/393,696
  6. Step 6: Final answer
    x = 191,518.56

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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.