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Finding the Fourth Proportional to 213,400.80, 320,101.20 and 196,293.60

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Solution

The fourth proportional to 213,400.80, 320,101.20 and 196,293.60 is: 294,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,400.80 : 320,101.20 = 196,293.60 : x
  2. Step 2: Convert to fraction form
    213,400.80/320,101.20 = 196,293.60/x
  3. Step 3: Cross multiply
    213,400.80x = 320,101.20 × 196,293.60
  4. Step 4: Simplify right side
    213,400.80x = 62,833,816,912.32
  5. Step 5: Solve for x
    x = 62,833,816,912.32/213,400.80
  6. Step 6: Final answer
    x = 294,440.40

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1.5x scale

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.