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Finding the Fourth Proportional to 298,053.80, 445,914.30 and 193,077.80

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Solution

The fourth proportional to 298,053.80, 445,914.30 and 193,077.80 is: 288,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,053.80 : 445,914.30 = 193,077.80 : x
  2. Step 2: Convert to fraction form
    298,053.80/445,914.30 = 193,077.80/x
  3. Step 3: Cross multiply
    298,053.80x = 445,914.30 × 193,077.80
  4. Step 4: Simplify right side
    298,053.80x = 86,096,152,032.54
  5. Step 5: Solve for x
    x = 86,096,152,032.54/298,053.80
  6. Step 6: Final answer
    x = 288,861.11

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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.