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Finding the Fourth Proportional to 400,821.60, 601,232.40 and 134,493.60

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Solution

The fourth proportional to 400,821.60, 601,232.40 and 134,493.60 is: 201,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,821.60 : 601,232.40 = 134,493.60 : x
  2. Step 2: Convert to fraction form
    400,821.60/601,232.40 = 134,493.60/x
  3. Step 3: Cross multiply
    400,821.60x = 601,232.40 × 134,493.60
  4. Step 4: Simplify right side
    400,821.60x = 80,861,909,912.64
  5. Step 5: Solve for x
    x = 80,861,909,912.64/400,821.60
  6. Step 6: Final answer
    x = 201,740.40

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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.