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Finding the Fourth Proportional to 288,624.24, 398,319.13 and 161,310

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Solution

The fourth proportional to 288,624.24, 398,319.13 and 161,310 is: 222,617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,624.24 : 398,319.13 = 161,310 : x
  2. Step 2: Convert to fraction form
    288,624.24/398,319.13 = 161,310/x
  3. Step 3: Cross multiply
    288,624.24x = 398,319.13 × 161,310
  4. Step 4: Simplify right side
    288,624.24x = 64,252,858,860.30
  5. Step 5: Solve for x
    x = 64,252,858,860.30/288,624.24
  6. Step 6: Final answer
    x = 222,617.68

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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.