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Finding the Fourth Proportional to 298,173.64, 411,481.44 and 162,208.84

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Solution

The fourth proportional to 298,173.64, 411,481.44 and 162,208.84 is: 223,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,173.64 : 411,481.44 = 162,208.84 : x
  2. Step 2: Convert to fraction form
    298,173.64/411,481.44 = 162,208.84/x
  3. Step 3: Cross multiply
    298,173.64x = 411,481.44 × 162,208.84
  4. Step 4: Simplify right side
    298,173.64x = 66,745,927,063.93
  5. Step 5: Solve for x
    x = 66,745,927,063.93/298,173.64
  6. Step 6: Final answer
    x = 223,849.19

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1.5x scale

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.