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Finding the Fourth Proportional to 275,904.62, 414,381.84 and 171,453.50

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Solution

The fourth proportional to 275,904.62, 414,381.84 and 171,453.50 is: 257,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,904.62 : 414,381.84 = 171,453.50 : x
  2. Step 2: Convert to fraction form
    275,904.62/414,381.84 = 171,453.50/x
  3. Step 3: Cross multiply
    275,904.62x = 414,381.84 × 171,453.50
  4. Step 4: Simplify right side
    275,904.62x = 71,047,216,804.44
  5. Step 5: Solve for x
    x = 71,047,216,804.44/275,904.62
  6. Step 6: Final answer
    x = 257,506.44

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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.