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Finding the Fourth Proportional to 288,027.63, 397,414.49 and 167,098.86

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Solution

The fourth proportional to 288,027.63, 397,414.49 and 167,098.86 is: 230,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,027.63 : 397,414.49 = 167,098.86 : x
  2. Step 2: Convert to fraction form
    288,027.63/397,414.49 = 167,098.86/x
  3. Step 3: Cross multiply
    288,027.63x = 397,414.49 × 167,098.86
  4. Step 4: Simplify right side
    288,027.63x = 66,407,507,390.99
  5. Step 5: Solve for x
    x = 66,407,507,390.99/288,027.63
  6. Step 6: Final answer
    x = 230,559.50

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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.