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Finding the Fourth Proportional to 276,063.68, 413,928.20 and 180,072.60

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Solution

The fourth proportional to 276,063.68, 413,928.20 and 180,072.60 is: 269,999.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,063.68 : 413,928.20 = 180,072.60 : x
  2. Step 2: Convert to fraction form
    276,063.68/413,928.20 = 180,072.60/x
  3. Step 3: Cross multiply
    276,063.68x = 413,928.20 × 180,072.60
  4. Step 4: Simplify right side
    276,063.68x = 74,537,127,187.32
  5. Step 5: Solve for x
    x = 74,537,127,187.32/276,063.68
  6. Step 6: Final answer
    x = 269,999.76

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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.