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Finding the Fourth Proportional to 288,613.16, 398,287.64 and 161,290.88

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Solution

The fourth proportional to 288,613.16, 398,287.64 and 161,290.88 is: 222,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,613.16 : 398,287.64 = 161,290.88 : x
  2. Step 2: Convert to fraction form
    288,613.16/398,287.64 = 161,290.88/x
  3. Step 3: Cross multiply
    288,613.16x = 398,287.64 × 161,290.88
  4. Step 4: Simplify right side
    288,613.16x = 64,240,163,142.27
  5. Step 5: Solve for x
    x = 64,240,163,142.27/288,613.16
  6. Step 6: Final answer
    x = 222,582.24

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