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Finding the Fourth Proportional to 454,055.60, 681,229.20 and 201,238.40

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Solution

The fourth proportional to 454,055.60, 681,229.20 and 201,238.40 is: 301,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,055.60 : 681,229.20 = 201,238.40 : x
  2. Step 2: Convert to fraction form
    454,055.60/681,229.20 = 201,238.40/x
  3. Step 3: Cross multiply
    454,055.60x = 681,229.20 × 201,238.40
  4. Step 4: Simplify right side
    454,055.60x = 137,089,474,241.28
  5. Step 5: Solve for x
    x = 137,089,474,241.28/454,055.60
  6. Step 6: Final answer
    x = 301,922.22

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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.