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Finding the Fourth Proportional to 298,286.76, 411,643.32 and 162,328.08

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Solution

The fourth proportional to 298,286.76, 411,643.32 and 162,328.08 is: 224,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,286.76 : 411,643.32 = 162,328.08 : x
  2. Step 2: Convert to fraction form
    298,286.76/411,643.32 = 162,328.08/x
  3. Step 3: Cross multiply
    298,286.76x = 411,643.32 × 162,328.08
  4. Step 4: Simplify right side
    298,286.76x = 66,821,269,780.43
  5. Step 5: Solve for x
    x = 66,821,269,780.43/298,286.76
  6. Step 6: Final answer
    x = 224,016.88

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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.