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Finding the Fourth Proportional to 452,469.58, 678,791.81 and 171,964.96

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Solution

The fourth proportional to 452,469.58, 678,791.81 and 171,964.96 is: 257,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,469.58 : 678,791.81 = 171,964.96 : x
  2. Step 2: Convert to fraction form
    452,469.58/678,791.81 = 171,964.96/x
  3. Step 3: Cross multiply
    452,469.58x = 678,791.81 × 171,964.96
  4. Step 4: Simplify right side
    452,469.58x = 116,728,406,454.98
  5. Step 5: Solve for x
    x = 116,728,406,454.98/452,469.58
  6. Step 6: Final answer
    x = 257,980.67

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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.