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Finding the Fourth Proportional to 468,676.84, 703,015.08 and 188,194

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Solution

The fourth proportional to 468,676.84, 703,015.08 and 188,194 is: 282,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,676.84 : 703,015.08 = 188,194 : x
  2. Step 2: Convert to fraction form
    468,676.84/703,015.08 = 188,194/x
  3. Step 3: Cross multiply
    468,676.84x = 703,015.08 × 188,194
  4. Step 4: Simplify right side
    468,676.84x = 132,303,219,965.52
  5. Step 5: Solve for x
    x = 132,303,219,965.52/468,676.84
  6. Step 6: Final answer
    x = 282,290.93

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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.