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Finding the Fourth Proportional to 273,784.40, 410,677.74 and 84,243.56

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Solution

The fourth proportional to 273,784.40, 410,677.74 and 84,243.56 is: 126,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,784.40 : 410,677.74 = 84,243.56 : x
  2. Step 2: Convert to fraction form
    273,784.40/410,677.74 = 84,243.56/x
  3. Step 3: Cross multiply
    273,784.40x = 410,677.74 × 84,243.56
  4. Step 4: Simplify right side
    273,784.40x = 34,596,954,830.35
  5. Step 5: Solve for x
    x = 34,596,954,830.35/273,784.40
  6. Step 6: Final answer
    x = 126,365.69

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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.