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Finding the Fourth Proportional to 469,405.16, 703,923.48 and 165,734.56

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Solution

The fourth proportional to 469,405.16, 703,923.48 and 165,734.56 is: 248,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,405.16 : 703,923.48 = 165,734.56 : x
  2. Step 2: Convert to fraction form
    469,405.16/703,923.48 = 165,734.56/x
  3. Step 3: Cross multiply
    469,405.16x = 703,923.48 × 165,734.56
  4. Step 4: Simplify right side
    469,405.16x = 116,664,448,231.47
  5. Step 5: Solve for x
    x = 116,664,448,231.47/469,405.16
  6. Step 6: Final answer
    x = 248,536.78

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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.