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Finding the Fourth Proportional to 341,186.46, 470,685.11 and 197,863.49

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Solution

The fourth proportional to 341,186.46, 470,685.11 and 197,863.49 is: 272,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,186.46 : 470,685.11 = 197,863.49 : x
  2. Step 2: Convert to fraction form
    341,186.46/470,685.11 = 197,863.49/x
  3. Step 3: Cross multiply
    341,186.46x = 470,685.11 × 197,863.49
  4. Step 4: Simplify right side
    341,186.46x = 93,131,395,212.89
  5. Step 5: Solve for x
    x = 93,131,395,212.89/341,186.46
  6. Step 6: Final answer
    x = 272,963.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.