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Finding the Fourth Proportional to 320,438.40, 480,657.60 and 133,425.60

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Solution

The fourth proportional to 320,438.40, 480,657.60 and 133,425.60 is: 200,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,438.40 : 480,657.60 = 133,425.60 : x
  2. Step 2: Convert to fraction form
    320,438.40/480,657.60 = 133,425.60/x
  3. Step 3: Cross multiply
    320,438.40x = 480,657.60 × 133,425.60
  4. Step 4: Simplify right side
    320,438.40x = 64,132,028,674.56
  5. Step 5: Solve for x
    x = 64,132,028,674.56/320,438.40
  6. Step 6: Final answer
    x = 200,138.40

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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.