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Finding the Fourth Proportional to 288,948, 398,765.92 and 161,632.16

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Solution

The fourth proportional to 288,948, 398,765.92 and 161,632.16 is: 223,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,948 : 398,765.92 = 161,632.16 : x
  2. Step 2: Convert to fraction form
    288,948/398,765.92 = 161,632.16/x
  3. Step 3: Cross multiply
    288,948x = 398,765.92 × 161,632.16
  4. Step 4: Simplify right side
    288,948x = 64,453,396,983.99
  5. Step 5: Solve for x
    x = 64,453,396,983.99/288,948
  6. Step 6: Final answer
    x = 223,062.27

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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.