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Finding the Fourth Proportional to 380,544, 570,770.63 and 100,083.12

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Solution

The fourth proportional to 380,544, 570,770.63 and 100,083.12 is: 150,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,544 : 570,770.63 = 100,083.12 : x
  2. Step 2: Convert to fraction form
    380,544/570,770.63 = 100,083.12/x
  3. Step 3: Cross multiply
    380,544x = 570,770.63 × 100,083.12
  4. Step 4: Simplify right side
    380,544x = 57,124,505,454.77
  5. Step 5: Solve for x
    x = 57,124,505,454.77/380,544
  6. Step 6: Final answer
    x = 150,112.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.