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Finding the Fourth Proportional to 462,405.57, 693,468.23 and 178,074.25

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Solution

The fourth proportional to 462,405.57, 693,468.23 and 178,074.25 is: 267,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,405.57 : 693,468.23 = 178,074.25 : x
  2. Step 2: Convert to fraction form
    462,405.57/693,468.23 = 178,074.25/x
  3. Step 3: Cross multiply
    462,405.57x = 693,468.23 × 178,074.25
  4. Step 4: Simplify right side
    462,405.57x = 123,488,837,033.42
  5. Step 5: Solve for x
    x = 123,488,837,033.42/462,405.57
  6. Step 6: Final answer
    x = 267,057.42

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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.