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Finding the Fourth Proportional to 298,101.92, 446,405.09 and 178,084.83

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Solution

The fourth proportional to 298,101.92, 446,405.09 and 178,084.83 is: 266,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,101.92 : 446,405.09 = 178,084.83 : x
  2. Step 2: Convert to fraction form
    298,101.92/446,405.09 = 178,084.83/x
  3. Step 3: Cross multiply
    298,101.92x = 446,405.09 × 178,084.83
  4. Step 4: Simplify right side
    298,101.92x = 79,497,973,673.36
  5. Step 5: Solve for x
    x = 79,497,973,673.36/298,101.92
  6. Step 6: Final answer
    x = 266,680.52

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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.