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Finding the Fourth Proportional to 298,000.96, 446,814.56 and 110,858.56

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Solution

The fourth proportional to 298,000.96, 446,814.56 and 110,858.56 is: 166,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,000.96 : 446,814.56 = 110,858.56 : x
  2. Step 2: Convert to fraction form
    298,000.96/446,814.56 = 110,858.56/x
  3. Step 3: Cross multiply
    298,000.96x = 446,814.56 × 110,858.56
  4. Step 4: Simplify right side
    298,000.96x = 49,533,218,708.63
  5. Step 5: Solve for x
    x = 49,533,218,708.63/298,000.96
  6. Step 6: Final answer
    x = 166,218.32

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1.5x scale

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.