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Finding the Fourth Proportional to 380,928.72, 571,511.56 and 156,307.44

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Solution

The fourth proportional to 380,928.72, 571,511.56 and 156,307.44 is: 234,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,928.72 : 571,511.56 = 156,307.44 : x
  2. Step 2: Convert to fraction form
    380,928.72/571,511.56 = 156,307.44/x
  3. Step 3: Cross multiply
    380,928.72x = 571,511.56 × 156,307.44
  4. Step 4: Simplify right side
    380,928.72x = 89,331,508,874.01
  5. Step 5: Solve for x
    x = 89,331,508,874.01/380,928.72
  6. Step 6: Final answer
    x = 234,509.78

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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.