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Finding the Fourth Proportional to 288,606.69, 398,270.33 and 161,306.89

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Solution

The fourth proportional to 288,606.69, 398,270.33 and 161,306.89 is: 222,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,606.69 : 398,270.33 = 161,306.89 : x
  2. Step 2: Convert to fraction form
    288,606.69/398,270.33 = 161,306.89/x
  3. Step 3: Cross multiply
    288,606.69x = 398,270.33 × 161,306.89
  4. Step 4: Simplify right side
    288,606.69x = 64,243,748,311.57
  5. Step 5: Solve for x
    x = 64,243,748,311.57/288,606.69
  6. Step 6: Final answer
    x = 222,599.65

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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.