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Finding the Fourth Proportional to 397,646.62, 548,735.87 and 216,359.24

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Solution

The fourth proportional to 397,646.62, 548,735.87 and 216,359.24 is: 298,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,646.62 : 548,735.87 = 216,359.24 : x
  2. Step 2: Convert to fraction form
    397,646.62/548,735.87 = 216,359.24/x
  3. Step 3: Cross multiply
    397,646.62x = 548,735.87 × 216,359.24
  4. Step 4: Simplify right side
    397,646.62x = 118,724,075,793.94
  5. Step 5: Solve for x
    x = 118,724,075,793.94/397,646.62
  6. Step 6: Final answer
    x = 298,566.79

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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.