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Finding the Fourth Proportional to 339,843.80, 509,765.70 and 256,899.80

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Solution

The fourth proportional to 339,843.80, 509,765.70 and 256,899.80 is: 385,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,843.80 : 509,765.70 = 256,899.80 : x
  2. Step 2: Convert to fraction form
    339,843.80/509,765.70 = 256,899.80/x
  3. Step 3: Cross multiply
    339,843.80x = 509,765.70 × 256,899.80
  4. Step 4: Simplify right side
    339,843.80x = 130,958,706,376.86
  5. Step 5: Solve for x
    x = 130,958,706,376.86/339,843.80
  6. Step 6: Final answer
    x = 385,349.70

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1.5x scale

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.