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Finding the Fourth Proportional to 288,267.26, 397,778.46 and 167,384.90

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Solution

The fourth proportional to 288,267.26, 397,778.46 and 167,384.90 is: 230,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,267.26 : 397,778.46 = 167,384.90 : x
  2. Step 2: Convert to fraction form
    288,267.26/397,778.46 = 167,384.90/x
  3. Step 3: Cross multiply
    288,267.26x = 397,778.46 × 167,384.90
  4. Step 4: Simplify right side
    288,267.26x = 66,582,107,749.25
  5. Step 5: Solve for x
    x = 66,582,107,749.25/288,267.26
  6. Step 6: Final answer
    x = 230,973.53

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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.