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Finding the Fourth Proportional to 433,245.60, 649,771.20 and 284,529.60

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Solution

The fourth proportional to 433,245.60, 649,771.20 and 284,529.60 is: 426,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,245.60 : 649,771.20 = 284,529.60 : x
  2. Step 2: Convert to fraction form
    433,245.60/649,771.20 = 284,529.60/x
  3. Step 3: Cross multiply
    433,245.60x = 649,771.20 × 284,529.60
  4. Step 4: Simplify right side
    433,245.60x = 184,879,139,627.52
  5. Step 5: Solve for x
    x = 184,879,139,627.52/433,245.60
  6. Step 6: Final answer
    x = 426,730.56

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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.