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Finding the Fourth Proportional to 336,808.19, 464,783.67 and 200,772

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Solution

The fourth proportional to 336,808.19, 464,783.67 and 200,772 is: 277,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,808.19 : 464,783.67 = 200,772 : x
  2. Step 2: Convert to fraction form
    336,808.19/464,783.67 = 200,772/x
  3. Step 3: Cross multiply
    336,808.19x = 464,783.67 × 200,772
  4. Step 4: Simplify right side
    336,808.19x = 93,315,546,993.24
  5. Step 5: Solve for x
    x = 93,315,546,993.24/336,808.19
  6. Step 6: Final answer
    x = 277,058.42

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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.