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Finding the Fourth Proportional to 543,077.84, 814,622.72 and 164,001.78

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Solution

The fourth proportional to 543,077.84, 814,622.72 and 164,001.78 is: 246,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,077.84 : 814,622.72 = 164,001.78 : x
  2. Step 2: Convert to fraction form
    543,077.84/814,622.72 = 164,001.78/x
  3. Step 3: Cross multiply
    543,077.84x = 814,622.72 × 164,001.78
  4. Step 4: Simplify right side
    543,077.84x = 133,599,576,108.44
  5. Step 5: Solve for x
    x = 133,599,576,108.44/543,077.84
  6. Step 6: Final answer
    x = 246,004.47

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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.