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Finding the Fourth Proportional to 526,785.84, 726,958.92 and 285,063.12

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Solution

The fourth proportional to 526,785.84, 726,958.92 and 285,063.12 is: 393,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,785.84 : 726,958.92 = 285,063.12 : x
  2. Step 2: Convert to fraction form
    526,785.84/726,958.92 = 285,063.12/x
  3. Step 3: Cross multiply
    526,785.84x = 726,958.92 × 285,063.12
  4. Step 4: Simplify right side
    526,785.84x = 207,229,177,847.03
  5. Step 5: Solve for x
    x = 207,229,177,847.03/526,785.84
  6. Step 6: Final answer
    x = 393,384.11

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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.