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Finding the Fourth Proportional to 288,400.40, 397,953.24 and 161,059.76

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Solution

The fourth proportional to 288,400.40, 397,953.24 and 161,059.76 is: 222,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,400.40 : 397,953.24 = 161,059.76 : x
  2. Step 2: Convert to fraction form
    288,400.40/397,953.24 = 161,059.76/x
  3. Step 3: Cross multiply
    288,400.40x = 397,953.24 × 161,059.76
  4. Step 4: Simplify right side
    288,400.40x = 64,094,253,325.62
  5. Step 5: Solve for x
    x = 64,094,253,325.62/288,400.40
  6. Step 6: Final answer
    x = 222,240.51

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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.