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Finding the Fourth Proportional to 361,684.80, 542,786.40 and 151,473.60

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Solution

The fourth proportional to 361,684.80, 542,786.40 and 151,473.60 is: 227,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,684.80 : 542,786.40 = 151,473.60 : x
  2. Step 2: Convert to fraction form
    361,684.80/542,786.40 = 151,473.60/x
  3. Step 3: Cross multiply
    361,684.80x = 542,786.40 × 151,473.60
  4. Step 4: Simplify right side
    361,684.80x = 82,217,810,039.04
  5. Step 5: Solve for x
    x = 82,217,810,039.04/361,684.80
  6. Step 6: Final answer
    x = 227,318.95

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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.