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Finding the Fourth Proportional to 297,928.32, 446,797.48 and 98,211.48

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Solution

The fourth proportional to 297,928.32, 446,797.48 and 98,211.48 is: 147,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,928.32 : 446,797.48 = 98,211.48 : x
  2. Step 2: Convert to fraction form
    297,928.32/446,797.48 = 98,211.48/x
  3. Step 3: Cross multiply
    297,928.32x = 446,797.48 × 98,211.48
  4. Step 4: Simplify right side
    297,928.32x = 43,880,641,771.07
  5. Step 5: Solve for x
    x = 43,880,641,771.07/297,928.32
  6. Step 6: Final answer
    x = 147,285.90

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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.