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Finding the Fourth Proportional to 469,759.54, 704,633.16 and 114,776.63

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Solution

The fourth proportional to 469,759.54, 704,633.16 and 114,776.63 is: 172,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,759.54 : 704,633.16 = 114,776.63 : x
  2. Step 2: Convert to fraction form
    469,759.54/704,633.16 = 114,776.63/x
  3. Step 3: Cross multiply
    469,759.54x = 704,633.16 × 114,776.63
  4. Step 4: Simplify right side
    469,759.54x = 80,875,419,491.05
  5. Step 5: Solve for x
    x = 80,875,419,491.05/469,759.54
  6. Step 6: Final answer
    x = 172,163.44

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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.