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Finding the Fourth Proportional to 286,255.80, 429,383.70 and 161,839.80

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Solution

The fourth proportional to 286,255.80, 429,383.70 and 161,839.80 is: 242,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,255.80 : 429,383.70 = 161,839.80 : x
  2. Step 2: Convert to fraction form
    286,255.80/429,383.70 = 161,839.80/x
  3. Step 3: Cross multiply
    286,255.80x = 429,383.70 × 161,839.80
  4. Step 4: Simplify right side
    286,255.80x = 69,491,372,131.26
  5. Step 5: Solve for x
    x = 69,491,372,131.26/286,255.80
  6. Step 6: Final answer
    x = 242,759.70

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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.