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Finding the Fourth Proportional to 333,966, 460,874.70 and 199,830

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Solution

The fourth proportional to 333,966, 460,874.70 and 199,830 is: 275,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,966 : 460,874.70 = 199,830 : x
  2. Step 2: Convert to fraction form
    333,966/460,874.70 = 199,830/x
  3. Step 3: Cross multiply
    333,966x = 460,874.70 × 199,830
  4. Step 4: Simplify right side
    333,966x = 92,096,591,301
  5. Step 5: Solve for x
    x = 92,096,591,301/333,966
  6. Step 6: Final answer
    x = 275,766.37

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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.