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Finding the Fourth Proportional to 365,405.49, 504,258.03 and 204,260.40

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Solution

The fourth proportional to 365,405.49, 504,258.03 and 204,260.40 is: 281,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,405.49 : 504,258.03 = 204,260.40 : x
  2. Step 2: Convert to fraction form
    365,405.49/504,258.03 = 204,260.40/x
  3. Step 3: Cross multiply
    365,405.49x = 504,258.03 × 204,260.40
  4. Step 4: Simplify right side
    365,405.49x = 102,999,946,911.01
  5. Step 5: Solve for x
    x = 102,999,946,911.01/365,405.49
  6. Step 6: Final answer
    x = 281,878.49

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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.