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Finding the Fourth Proportional to 381,568.44, 526,263.98 and 338,007.59

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Solution

The fourth proportional to 381,568.44, 526,263.98 and 338,007.59 is: 466,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,568.44 : 526,263.98 = 338,007.59 : x
  2. Step 2: Convert to fraction form
    381,568.44/526,263.98 = 338,007.59/x
  3. Step 3: Cross multiply
    381,568.44x = 526,263.98 × 338,007.59
  4. Step 4: Simplify right side
    381,568.44x = 177,881,215,262.25
  5. Step 5: Solve for x
    x = 177,881,215,262.25/381,568.44
  6. Step 6: Final answer
    x = 466,184.30

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Why These Related Problems?

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