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Finding the Fourth Proportional to 464,958.60, 696,771.87 and 264,865.80

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Solution

The fourth proportional to 464,958.60, 696,771.87 and 264,865.80 is: 396,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,958.60 : 696,771.87 = 264,865.80 : x
  2. Step 2: Convert to fraction form
    464,958.60/696,771.87 = 264,865.80/x
  3. Step 3: Cross multiply
    464,958.60x = 696,771.87 × 264,865.80
  4. Step 4: Simplify right side
    464,958.60x = 184,551,038,765.05
  5. Step 5: Solve for x
    x = 184,551,038,765.05/464,958.60
  6. Step 6: Final answer
    x = 396,919.29

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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.