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Finding the Fourth Proportional to 297,823.80, 446,735.70 and 265,164.60

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Solution

The fourth proportional to 297,823.80, 446,735.70 and 265,164.60 is: 397,746.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,823.80 : 446,735.70 = 265,164.60 : x
  2. Step 2: Convert to fraction form
    297,823.80/446,735.70 = 265,164.60/x
  3. Step 3: Cross multiply
    297,823.80x = 446,735.70 × 265,164.60
  4. Step 4: Simplify right side
    297,823.80x = 118,458,493,196.22
  5. Step 5: Solve for x
    x = 118,458,493,196.22/297,823.80
  6. Step 6: Final answer
    x = 397,746.90

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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.