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Finding the Fourth Proportional to 469,447.26, 703,994.10 and 169,853.77

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Solution

The fourth proportional to 469,447.26, 703,994.10 and 169,853.77 is: 254,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,447.26 : 703,994.10 = 169,853.77 : x
  2. Step 2: Convert to fraction form
    469,447.26/703,994.10 = 169,853.77/x
  3. Step 3: Cross multiply
    469,447.26x = 703,994.10 × 169,853.77
  4. Step 4: Simplify right side
    469,447.26x = 119,576,051,942.76
  5. Step 5: Solve for x
    x = 119,576,051,942.76/469,447.26
  6. Step 6: Final answer
    x = 254,716.69

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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.