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Finding the Fourth Proportional to 380,274.56, 570,073.44 and 180,471.68

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Solution

The fourth proportional to 380,274.56, 570,073.44 and 180,471.68 is: 270,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,274.56 : 570,073.44 = 180,471.68 : x
  2. Step 2: Convert to fraction form
    380,274.56/570,073.44 = 180,471.68/x
  3. Step 3: Cross multiply
    380,274.56x = 570,073.44 × 180,471.68
  4. Step 4: Simplify right side
    380,274.56x = 102,882,111,440.18
  5. Step 5: Solve for x
    x = 102,882,111,440.18/380,274.56
  6. Step 6: Final answer
    x = 270,546.92

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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.