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Finding the Fourth Proportional to 469,194.12, 703,791 and 188,645.76

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Solution

The fourth proportional to 469,194.12, 703,791 and 188,645.76 is: 282,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,194.12 : 703,791 = 188,645.76 : x
  2. Step 2: Convert to fraction form
    469,194.12/703,791 = 188,645.76/x
  3. Step 3: Cross multiply
    469,194.12x = 703,791 × 188,645.76
  4. Step 4: Simplify right side
    469,194.12x = 132,767,188,076.16
  5. Step 5: Solve for x
    x = 132,767,188,076.16/469,194.12
  6. Step 6: Final answer
    x = 282,968.57

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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.