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Finding the Fourth Proportional to 233,974.40, 350,961.60 and 209,042.60

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Solution

The fourth proportional to 233,974.40, 350,961.60 and 209,042.60 is: 313,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,974.40 : 350,961.60 = 209,042.60 : x
  2. Step 2: Convert to fraction form
    233,974.40/350,961.60 = 209,042.60/x
  3. Step 3: Cross multiply
    233,974.40x = 350,961.60 × 209,042.60
  4. Step 4: Simplify right side
    233,974.40x = 73,365,925,364.16
  5. Step 5: Solve for x
    x = 73,365,925,364.16/233,974.40
  6. Step 6: Final answer
    x = 313,563.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.