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Finding the Fourth Proportional to 469,039.84, 703,553.04 and 114,052.96

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Solution

The fourth proportional to 469,039.84, 703,553.04 and 114,052.96 is: 171,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,039.84 : 703,553.04 = 114,052.96 : x
  2. Step 2: Convert to fraction form
    469,039.84/703,553.04 = 114,052.96/x
  3. Step 3: Cross multiply
    469,039.84x = 703,553.04 × 114,052.96
  4. Step 4: Simplify right side
    469,039.84x = 80,242,306,729.00
  5. Step 5: Solve for x
    x = 80,242,306,729.00/469,039.84
  6. Step 6: Final answer
    x = 171,077.81

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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.