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Finding the Fourth Proportional to 288,613.66, 398,288.33 and 161,291.38

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Solution

The fourth proportional to 288,613.66, 398,288.33 and 161,291.38 is: 222,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,613.66 : 398,288.33 = 161,291.38 : x
  2. Step 2: Convert to fraction form
    288,613.66/398,288.33 = 161,291.38/x
  3. Step 3: Cross multiply
    288,613.66x = 398,288.33 × 161,291.38
  4. Step 4: Simplify right side
    288,613.66x = 64,240,473,577.14
  5. Step 5: Solve for x
    x = 64,240,473,577.14/288,613.66
  6. Step 6: Final answer
    x = 222,582.93

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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.