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Finding the Fourth Proportional to 288,582.22, 398,235.82 and 161,258.86

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Solution

The fourth proportional to 288,582.22, 398,235.82 and 161,258.86 is: 222,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,582.22 : 398,235.82 = 161,258.86 : x
  2. Step 2: Convert to fraction form
    288,582.22/398,235.82 = 161,258.86/x
  3. Step 3: Cross multiply
    288,582.22x = 398,235.82 × 161,258.86
  4. Step 4: Simplify right side
    288,582.22x = 64,219,054,344.37
  5. Step 5: Solve for x
    x = 64,219,054,344.37/288,582.22
  6. Step 6: Final answer
    x = 222,532.96

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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.