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Finding the Fourth Proportional to 298,851.96, 412,403.68 and 162,883

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Solution

The fourth proportional to 298,851.96, 412,403.68 and 162,883 is: 224,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,851.96 : 412,403.68 = 162,883 : x
  2. Step 2: Convert to fraction form
    298,851.96/412,403.68 = 162,883/x
  3. Step 3: Cross multiply
    298,851.96x = 412,403.68 × 162,883
  4. Step 4: Simplify right side
    298,851.96x = 67,173,548,609.44
  5. Step 5: Solve for x
    x = 67,173,548,609.44/298,851.96
  6. Step 6: Final answer
    x = 224,771.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.