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Finding the Fourth Proportional to 273,913.40, 410,914.26 and 84,373.74

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Solution

The fourth proportional to 273,913.40, 410,914.26 and 84,373.74 is: 126,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,913.40 : 410,914.26 = 84,373.74 : x
  2. Step 2: Convert to fraction form
    273,913.40/410,914.26 = 84,373.74/x
  3. Step 3: Cross multiply
    273,913.40x = 410,914.26 × 84,373.74
  4. Step 4: Simplify right side
    273,913.40x = 34,670,372,935.53
  5. Step 5: Solve for x
    x = 34,670,372,935.53/273,913.40
  6. Step 6: Final answer
    x = 126,574.21

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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.