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Finding the Fourth Proportional to 310,469.54, 465,698.48 and 169,213.76

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Solution

The fourth proportional to 310,469.54, 465,698.48 and 169,213.76 is: 253,817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,469.54 : 465,698.48 = 169,213.76 : x
  2. Step 2: Convert to fraction form
    310,469.54/465,698.48 = 169,213.76/x
  3. Step 3: Cross multiply
    310,469.54x = 465,698.48 × 169,213.76
  4. Step 4: Simplify right side
    310,469.54x = 78,802,588,921.63
  5. Step 5: Solve for x
    x = 78,802,588,921.63/310,469.54
  6. Step 6: Final answer
    x = 253,817.46

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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.