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Finding the Fourth Proportional to 289,845.60, 434,768.40 and 163,874.40

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Solution

The fourth proportional to 289,845.60, 434,768.40 and 163,874.40 is: 245,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,845.60 : 434,768.40 = 163,874.40 : x
  2. Step 2: Convert to fraction form
    289,845.60/434,768.40 = 163,874.40/x
  3. Step 3: Cross multiply
    289,845.60x = 434,768.40 × 163,874.40
  4. Step 4: Simplify right side
    289,845.60x = 71,247,410,688.96
  5. Step 5: Solve for x
    x = 71,247,410,688.96/289,845.60
  6. Step 6: Final answer
    x = 245,811.60

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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.