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Finding the Fourth Proportional to 397,394.10, 548,407.53 and 216,107.75

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Solution

The fourth proportional to 397,394.10, 548,407.53 and 216,107.75 is: 298,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,394.10 : 548,407.53 = 216,107.75 : x
  2. Step 2: Convert to fraction form
    397,394.10/548,407.53 = 216,107.75/x
  3. Step 3: Cross multiply
    397,394.10x = 548,407.53 × 216,107.75
  4. Step 4: Simplify right side
    397,394.10x = 118,515,118,762.38
  5. Step 5: Solve for x
    x = 118,515,118,762.38/397,394.10
  6. Step 6: Final answer
    x = 298,230.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.