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Finding the Fourth Proportional to 274,897.60, 412,092.66 and 190,697.49

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Solution

The fourth proportional to 274,897.60, 412,092.66 and 190,697.49 is: 285,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,897.60 : 412,092.66 = 190,697.49 : x
  2. Step 2: Convert to fraction form
    274,897.60/412,092.66 = 190,697.49/x
  3. Step 3: Cross multiply
    274,897.60x = 412,092.66 × 190,697.49
  4. Step 4: Simplify right side
    274,897.60x = 78,585,036,624.54
  5. Step 5: Solve for x
    x = 78,585,036,624.54/274,897.60
  6. Step 6: Final answer
    x = 285,870.22

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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.