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Finding the Fourth Proportional to 378,652.14, 568,144.98 and 294,285.89

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Solution

The fourth proportional to 378,652.14, 568,144.98 and 294,285.89 is: 441,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,652.14 : 568,144.98 = 294,285.89 : x
  2. Step 2: Convert to fraction form
    378,652.14/568,144.98 = 294,285.89/x
  3. Step 3: Cross multiply
    378,652.14x = 568,144.98 × 294,285.89
  4. Step 4: Simplify right side
    378,652.14x = 167,197,052,508.70
  5. Step 5: Solve for x
    x = 167,197,052,508.70/378,652.14
  6. Step 6: Final answer
    x = 441,558.45

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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.