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Finding the Fourth Proportional to 381,339.58, 526,247.16 and 209,260.42

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Solution

The fourth proportional to 381,339.58, 526,247.16 and 209,260.42 is: 288,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,339.58 : 526,247.16 = 209,260.42 : x
  2. Step 2: Convert to fraction form
    381,339.58/526,247.16 = 209,260.42/x
  3. Step 3: Cross multiply
    381,339.58x = 526,247.16 × 209,260.42
  4. Step 4: Simplify right side
    381,339.58x = 110,122,701,725.41
  5. Step 5: Solve for x
    x = 110,122,701,725.41/381,339.58
  6. Step 6: Final answer
    x = 288,778.58

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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.