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Finding the Fourth Proportional to 347,838.60, 521,757.90 and 214,285.80

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Solution

The fourth proportional to 347,838.60, 521,757.90 and 214,285.80 is: 321,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,838.60 : 521,757.90 = 214,285.80 : x
  2. Step 2: Convert to fraction form
    347,838.60/521,757.90 = 214,285.80/x
  3. Step 3: Cross multiply
    347,838.60x = 521,757.90 × 214,285.80
  4. Step 4: Simplify right side
    347,838.60x = 111,805,309,007.82
  5. Step 5: Solve for x
    x = 111,805,309,007.82/347,838.60
  6. Step 6: Final answer
    x = 321,428.70

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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.