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Finding the Fourth Proportional to 277,361.25, 382,655.77 and 204,938.74

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Solution

The fourth proportional to 277,361.25, 382,655.77 and 204,938.74 is: 282,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,361.25 : 382,655.77 = 204,938.74 : x
  2. Step 2: Convert to fraction form
    277,361.25/382,655.77 = 204,938.74/x
  3. Step 3: Cross multiply
    277,361.25x = 382,655.77 × 204,938.74
  4. Step 4: Simplify right side
    277,361.25x = 78,420,991,357.53
  5. Step 5: Solve for x
    x = 78,420,991,357.53/277,361.25
  6. Step 6: Final answer
    x = 282,739.54

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1.5x scale

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.