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Finding the Fourth Proportional to 378,014.70, 567,022.05 and 347,834.10

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Solution

The fourth proportional to 378,014.70, 567,022.05 and 347,834.10 is: 521,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,014.70 : 567,022.05 = 347,834.10 : x
  2. Step 2: Convert to fraction form
    378,014.70/567,022.05 = 347,834.10/x
  3. Step 3: Cross multiply
    378,014.70x = 567,022.05 × 347,834.10
  4. Step 4: Simplify right side
    378,014.70x = 197,229,604,441.91
  5. Step 5: Solve for x
    x = 197,229,604,441.91/378,014.70
  6. Step 6: Final answer
    x = 521,751.15

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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.