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Finding the Fourth Proportional to 228,766.32, 315,423 and 196,880.40

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Solution

The fourth proportional to 228,766.32, 315,423 and 196,880.40 is: 271,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,766.32 : 315,423 = 196,880.40 : x
  2. Step 2: Convert to fraction form
    228,766.32/315,423 = 196,880.40/x
  3. Step 3: Cross multiply
    228,766.32x = 315,423 × 196,880.40
  4. Step 4: Simplify right side
    228,766.32x = 62,100,606,409.20
  5. Step 5: Solve for x
    x = 62,100,606,409.20/228,766.32
  6. Step 6: Final answer
    x = 271,458.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.