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Finding the Fourth Proportional to 511,224.53, 705,494.78 and 281,790.80

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Solution

The fourth proportional to 511,224.53, 705,494.78 and 281,790.80 is: 388,874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,224.53 : 705,494.78 = 281,790.80 : x
  2. Step 2: Convert to fraction form
    511,224.53/705,494.78 = 281,790.80/x
  3. Step 3: Cross multiply
    511,224.53x = 705,494.78 × 281,790.80
  4. Step 4: Simplify right side
    511,224.53x = 198,801,933,515.60
  5. Step 5: Solve for x
    x = 198,801,933,515.60/511,224.53
  6. Step 6: Final answer
    x = 388,874.01

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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.