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Finding the Fourth Proportional to 469,759.73, 704,633.44 and 114,776.83

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Solution

The fourth proportional to 469,759.73, 704,633.44 and 114,776.83 is: 172,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,759.73 : 704,633.44 = 114,776.83 : x
  2. Step 2: Convert to fraction form
    469,759.73/704,633.44 = 114,776.83/x
  3. Step 3: Cross multiply
    469,759.73x = 704,633.44 × 114,776.83
  4. Step 4: Simplify right side
    469,759.73x = 80,875,592,555.20
  5. Step 5: Solve for x
    x = 80,875,592,555.20/469,759.73
  6. Step 6: Final answer
    x = 172,163.74

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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.