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Finding the Fourth Proportional to 361,209.44, 498,361.20 and 233,683.04

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Solution

The fourth proportional to 361,209.44, 498,361.20 and 233,683.04 is: 322,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,209.44 : 498,361.20 = 233,683.04 : x
  2. Step 2: Convert to fraction form
    361,209.44/498,361.20 = 233,683.04/x
  3. Step 3: Cross multiply
    361,209.44x = 498,361.20 × 233,683.04
  4. Step 4: Simplify right side
    361,209.44x = 116,458,560,234.05
  5. Step 5: Solve for x
    x = 116,458,560,234.05/361,209.44
  6. Step 6: Final answer
    x = 322,412.84

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1.5x scale

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.