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Finding the Fourth Proportional to 320,426.80, 480,064.20 and 153,847.60

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Solution

The fourth proportional to 320,426.80, 480,064.20 and 153,847.60 is: 230,494.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,426.80 : 480,064.20 = 153,847.60 : x
  2. Step 2: Convert to fraction form
    320,426.80/480,064.20 = 153,847.60/x
  3. Step 3: Cross multiply
    320,426.80x = 480,064.20 × 153,847.60
  4. Step 4: Simplify right side
    320,426.80x = 73,856,725,015.92
  5. Step 5: Solve for x
    x = 73,856,725,015.92/320,426.80
  6. Step 6: Final answer
    x = 230,494.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.