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Finding the Fourth Proportional to 381,573.14, 526,464.24 and 238,478.54

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Solution

The fourth proportional to 381,573.14, 526,464.24 and 238,478.54 is: 329,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,573.14 : 526,464.24 = 238,478.54 : x
  2. Step 2: Convert to fraction form
    381,573.14/526,464.24 = 238,478.54/x
  3. Step 3: Cross multiply
    381,573.14x = 526,464.24 × 238,478.54
  4. Step 4: Simplify right side
    381,573.14x = 125,550,423,317.41
  5. Step 5: Solve for x
    x = 125,550,423,317.41/381,573.14
  6. Step 6: Final answer
    x = 329,033.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.