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Finding the Fourth Proportional to 380,895.77, 571,164.57 and 140,843.81

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Solution

The fourth proportional to 380,895.77, 571,164.57 and 140,843.81 is: 211,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,895.77 : 571,164.57 = 140,843.81 : x
  2. Step 2: Convert to fraction form
    380,895.77/571,164.57 = 140,843.81/x
  3. Step 3: Cross multiply
    380,895.77x = 571,164.57 × 140,843.81
  4. Step 4: Simplify right side
    380,895.77x = 80,444,991,319.99
  5. Step 5: Solve for x
    x = 80,444,991,319.99/380,895.77
  6. Step 6: Final answer
    x = 211,199.49

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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.