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Finding the Fourth Proportional to 330,362.34, 495,713 and 161,879.50

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Solution

The fourth proportional to 330,362.34, 495,713 and 161,879.50 is: 242,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,362.34 : 495,713 = 161,879.50 : x
  2. Step 2: Convert to fraction form
    330,362.34/495,713 = 161,879.50/x
  3. Step 3: Cross multiply
    330,362.34x = 495,713 × 161,879.50
  4. Step 4: Simplify right side
    330,362.34x = 80,245,772,583.50
  5. Step 5: Solve for x
    x = 80,245,772,583.50/330,362.34
  6. Step 6: Final answer
    x = 242,902.30

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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.