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Finding the Fourth Proportional to 298,020.42, 411,265.94 and 162,054.45

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Solution

The fourth proportional to 298,020.42, 411,265.94 and 162,054.45 is: 223,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,020.42 : 411,265.94 = 162,054.45 : x
  2. Step 2: Convert to fraction form
    298,020.42/411,265.94 = 162,054.45/x
  3. Step 3: Cross multiply
    298,020.42x = 411,265.94 × 162,054.45
  4. Step 4: Simplify right side
    298,020.42x = 66,647,474,900.16
  5. Step 5: Solve for x
    x = 66,647,474,900.16/298,020.42
  6. Step 6: Final answer
    x = 223,633.92

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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.