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Finding the Fourth Proportional to 462,980.40, 693,952.20 and 263,396.40

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Solution

The fourth proportional to 462,980.40, 693,952.20 and 263,396.40 is: 394,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,980.40 : 693,952.20 = 263,396.40 : x
  2. Step 2: Convert to fraction form
    462,980.40/693,952.20 = 263,396.40/x
  3. Step 3: Cross multiply
    462,980.40x = 693,952.20 × 263,396.40
  4. Step 4: Simplify right side
    462,980.40x = 182,784,511,252.08
  5. Step 5: Solve for x
    x = 182,784,511,252.08/462,980.40
  6. Step 6: Final answer
    x = 394,799.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.