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Finding the Fourth Proportional to 382,640.70, 573,970.50 and 182,982.18

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Solution

The fourth proportional to 382,640.70, 573,970.50 and 182,982.18 is: 274,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,640.70 : 573,970.50 = 182,982.18 : x
  2. Step 2: Convert to fraction form
    382,640.70/573,970.50 = 182,982.18/x
  3. Step 3: Cross multiply
    382,640.70x = 573,970.50 × 182,982.18
  4. Step 4: Simplify right side
    382,640.70x = 105,026,373,345.69
  5. Step 5: Solve for x
    x = 105,026,373,345.69/382,640.70
  6. Step 6: Final answer
    x = 274,477.79

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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.