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Finding the Fourth Proportional to 380,876.20, 571,314.30 and 100,421.80

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Solution

The fourth proportional to 380,876.20, 571,314.30 and 100,421.80 is: 150,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,876.20 : 571,314.30 = 100,421.80 : x
  2. Step 2: Convert to fraction form
    380,876.20/571,314.30 = 100,421.80/x
  3. Step 3: Cross multiply
    380,876.20x = 571,314.30 × 100,421.80
  4. Step 4: Simplify right side
    380,876.20x = 57,372,410,371.74
  5. Step 5: Solve for x
    x = 57,372,410,371.74/380,876.20
  6. Step 6: Final answer
    x = 150,632.70

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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.