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Finding the Fourth Proportional to 285,614.20, 428,129.70 and 167,224.60

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Solution

The fourth proportional to 285,614.20, 428,129.70 and 167,224.60 is: 250,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614.20 : 428,129.70 = 167,224.60 : x
  2. Step 2: Convert to fraction form
    285,614.20/428,129.70 = 167,224.60/x
  3. Step 3: Cross multiply
    285,614.20x = 428,129.70 × 167,224.60
  4. Step 4: Simplify right side
    285,614.20x = 71,593,817,830.62
  5. Step 5: Solve for x
    x = 71,593,817,830.62/285,614.20
  6. Step 6: Final answer
    x = 250,666.17

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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.