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Finding the Fourth Proportional to 264,650.40, 396,975.60 and 164,485.80

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Solution

The fourth proportional to 264,650.40, 396,975.60 and 164,485.80 is: 246,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,650.40 : 396,975.60 = 164,485.80 : x
  2. Step 2: Convert to fraction form
    264,650.40/396,975.60 = 164,485.80/x
  3. Step 3: Cross multiply
    264,650.40x = 396,975.60 × 164,485.80
  4. Step 4: Simplify right side
    264,650.40x = 65,296,849,146.48
  5. Step 5: Solve for x
    x = 65,296,849,146.48/264,650.40
  6. Step 6: Final answer
    x = 246,728.70

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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.