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Finding the Fourth Proportional to 298,190.64, 411,492.54 and 162,220.80

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Solution

The fourth proportional to 298,190.64, 411,492.54 and 162,220.80 is: 223,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.64 : 411,492.54 = 162,220.80 : x
  2. Step 2: Convert to fraction form
    298,190.64/411,492.54 = 162,220.80/x
  3. Step 3: Cross multiply
    298,190.64x = 411,492.54 × 162,220.80
  4. Step 4: Simplify right side
    298,190.64x = 66,752,649,032.83
  5. Step 5: Solve for x
    x = 66,752,649,032.83/298,190.64
  6. Step 6: Final answer
    x = 223,858.97

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