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Finding the Fourth Proportional to 286,725.75, 395,682 and 159,401.34

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Solution

The fourth proportional to 286,725.75, 395,682 and 159,401.34 is: 219,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,725.75 : 395,682 = 159,401.34 : x
  2. Step 2: Convert to fraction form
    286,725.75/395,682 = 159,401.34/x
  3. Step 3: Cross multiply
    286,725.75x = 395,682 × 159,401.34
  4. Step 4: Simplify right side
    286,725.75x = 63,072,241,013.88
  5. Step 5: Solve for x
    x = 63,072,241,013.88/286,725.75
  6. Step 6: Final answer
    x = 219,974.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.