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Finding the Fourth Proportional to 308,887.17, 463,153.30 and 164,615.33

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Solution

The fourth proportional to 308,887.17, 463,153.30 and 164,615.33 is: 246,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,887.17 : 463,153.30 = 164,615.33 : x
  2. Step 2: Convert to fraction form
    308,887.17/463,153.30 = 164,615.33/x
  3. Step 3: Cross multiply
    308,887.17x = 463,153.30 × 164,615.33
  4. Step 4: Simplify right side
    308,887.17x = 76,242,132,908.55
  5. Step 5: Solve for x
    x = 76,242,132,908.55/308,887.17
  6. Step 6: Final answer
    x = 246,828.42

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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.