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Finding the Fourth Proportional to 469,186.24, 703,769.52 and 114,202.24

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Solution

The fourth proportional to 469,186.24, 703,769.52 and 114,202.24 is: 171,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,186.24 : 703,769.52 = 114,202.24 : x
  2. Step 2: Convert to fraction form
    469,186.24/703,769.52 = 114,202.24/x
  3. Step 3: Cross multiply
    469,186.24x = 703,769.52 × 114,202.24
  4. Step 4: Simplify right side
    469,186.24x = 80,372,055,627.72
  5. Step 5: Solve for x
    x = 80,372,055,627.72/469,186.24
  6. Step 6: Final answer
    x = 171,300.96

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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.