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Finding the Fourth Proportional to 397,689.27, 548,802.23 and 216,401.72

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Solution

The fourth proportional to 397,689.27, 548,802.23 and 216,401.72 is: 298,629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,689.27 : 548,802.23 = 216,401.72 : x
  2. Step 2: Convert to fraction form
    397,689.27/548,802.23 = 216,401.72/x
  3. Step 3: Cross multiply
    397,689.27x = 548,802.23 × 216,401.72
  4. Step 4: Simplify right side
    397,689.27x = 118,761,742,685.82
  5. Step 5: Solve for x
    x = 118,761,742,685.82/397,689.27
  6. Step 6: Final answer
    x = 298,629.49

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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.