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Finding the Fourth Proportional to 323,803, 446,848.14 and 189,667

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Solution

The fourth proportional to 323,803, 446,848.14 and 189,667 is: 261,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,803 : 446,848.14 = 189,667 : x
  2. Step 2: Convert to fraction form
    323,803/446,848.14 = 189,667/x
  3. Step 3: Cross multiply
    323,803x = 446,848.14 × 189,667
  4. Step 4: Simplify right side
    323,803x = 84,752,346,169.38
  5. Step 5: Solve for x
    x = 84,752,346,169.38/323,803
  6. Step 6: Final answer
    x = 261,740.46

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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.