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Finding the Fourth Proportional to 380,515.26, 570,727.50 and 100,054.38

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Solution

The fourth proportional to 380,515.26, 570,727.50 and 100,054.38 is: 150,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,515.26 : 570,727.50 = 100,054.38 : x
  2. Step 2: Convert to fraction form
    380,515.26/570,727.50 = 100,054.38/x
  3. Step 3: Cross multiply
    380,515.26x = 570,727.50 × 100,054.38
  4. Step 4: Simplify right side
    380,515.26x = 57,103,786,161.45
  5. Step 5: Solve for x
    x = 57,103,786,161.45/380,515.26
  6. Step 6: Final answer
    x = 150,069.63

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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.