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Finding the Fourth Proportional to 273,914.40, 410,915.76 and 84,374.74

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Solution

The fourth proportional to 273,914.40, 410,915.76 and 84,374.74 is: 126,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,914.40 : 410,915.76 = 84,374.74 : x
  2. Step 2: Convert to fraction form
    273,914.40/410,915.76 = 84,374.74/x
  3. Step 3: Cross multiply
    273,914.40x = 410,915.76 × 84,374.74
  4. Step 4: Simplify right side
    273,914.40x = 34,670,910,411.90
  5. Step 5: Solve for x
    x = 34,670,910,411.90/273,914.40
  6. Step 6: Final answer
    x = 126,575.71

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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.