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Finding the Fourth Proportional to 469,270.56, 703,892.07 and 114,279.42

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Solution

The fourth proportional to 469,270.56, 703,892.07 and 114,279.42 is: 171,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,270.56 : 703,892.07 = 114,279.42 : x
  2. Step 2: Convert to fraction form
    469,270.56/703,892.07 = 114,279.42/x
  3. Step 3: Cross multiply
    469,270.56x = 703,892.07 × 114,279.42
  4. Step 4: Simplify right side
    469,270.56x = 80,440,377,502.20
  5. Step 5: Solve for x
    x = 80,440,377,502.20/469,270.56
  6. Step 6: Final answer
    x = 171,415.78

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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.