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Finding the Fourth Proportional to 276,651.40, 414,977.10 and 171,675.40

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Solution

The fourth proportional to 276,651.40, 414,977.10 and 171,675.40 is: 257,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,651.40 : 414,977.10 = 171,675.40 : x
  2. Step 2: Convert to fraction form
    276,651.40/414,977.10 = 171,675.40/x
  3. Step 3: Cross multiply
    276,651.40x = 414,977.10 × 171,675.40
  4. Step 4: Simplify right side
    276,651.40x = 71,241,359,633.34
  5. Step 5: Solve for x
    x = 71,241,359,633.34/276,651.40
  6. Step 6: Final answer
    x = 257,513.10

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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.