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Finding the Fourth Proportional to 382,504.76, 573,742.44 and 102,019.56

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Solution

The fourth proportional to 382,504.76, 573,742.44 and 102,019.56 is: 153,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,504.76 : 573,742.44 = 102,019.56 : x
  2. Step 2: Convert to fraction form
    382,504.76/573,742.44 = 102,019.56/x
  3. Step 3: Cross multiply
    382,504.76x = 573,742.44 × 102,019.56
  4. Step 4: Simplify right side
    382,504.76x = 58,532,951,282.13
  5. Step 5: Solve for x
    x = 58,532,951,282.13/382,504.76
  6. Step 6: Final answer
    x = 153,025.42

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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.