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Finding the Fourth Proportional to 365,258.90, 504,068.05 and 204,114.33

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Solution

The fourth proportional to 365,258.90, 504,068.05 and 204,114.33 is: 281,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,258.90 : 504,068.05 = 204,114.33 : x
  2. Step 2: Convert to fraction form
    365,258.90/504,068.05 = 204,114.33/x
  3. Step 3: Cross multiply
    365,258.90x = 504,068.05 × 204,114.33
  4. Step 4: Simplify right side
    365,258.90x = 102,887,513,217.33
  5. Step 5: Solve for x
    x = 102,887,513,217.33/365,258.90
  6. Step 6: Final answer
    x = 281,683.79

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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.