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Finding the Fourth Proportional to 469,220.70, 703,832.49 and 114,234.78

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Solution

The fourth proportional to 469,220.70, 703,832.49 and 114,234.78 is: 171,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,220.70 : 703,832.49 = 114,234.78 : x
  2. Step 2: Convert to fraction form
    469,220.70/703,832.49 = 114,234.78/x
  3. Step 3: Cross multiply
    469,220.70x = 703,832.49 × 114,234.78
  4. Step 4: Simplify right side
    469,220.70x = 80,402,149,652.00
  5. Step 5: Solve for x
    x = 80,402,149,652.00/469,220.70
  6. Step 6: Final answer
    x = 171,352.52

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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.