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Finding the Fourth Proportional to 397,433.28, 548,461.89 and 216,149.34

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Solution

The fourth proportional to 397,433.28, 548,461.89 and 216,149.34 is: 298,288.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,433.28 : 548,461.89 = 216,149.34 : x
  2. Step 2: Convert to fraction form
    397,433.28/548,461.89 = 216,149.34/x
  3. Step 3: Cross multiply
    397,433.28x = 548,461.89 × 216,149.34
  4. Step 4: Simplify right side
    397,433.28x = 118,549,675,538.65
  5. Step 5: Solve for x
    x = 118,549,675,538.65/397,433.28
  6. Step 6: Final answer
    x = 298,288.24

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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.