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Finding the Fourth Proportional to 274,171.20, 411,256.80 and 194,455.05

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Solution

The fourth proportional to 274,171.20, 411,256.80 and 194,455.05 is: 291,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,171.20 : 411,256.80 = 194,455.05 : x
  2. Step 2: Convert to fraction form
    274,171.20/411,256.80 = 194,455.05/x
  3. Step 3: Cross multiply
    274,171.20x = 411,256.80 × 194,455.05
  4. Step 4: Simplify right side
    274,171.20x = 79,970,961,606.84
  5. Step 5: Solve for x
    x = 79,970,961,606.84/274,171.20
  6. Step 6: Final answer
    x = 291,682.58

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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.