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Finding the Fourth Proportional to 347,090.87, 478,984.01 and 194,128.44

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Solution

The fourth proportional to 347,090.87, 478,984.01 and 194,128.44 is: 267,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,090.87 : 478,984.01 = 194,128.44 : x
  2. Step 2: Convert to fraction form
    347,090.87/478,984.01 = 194,128.44/x
  3. Step 3: Cross multiply
    347,090.87x = 478,984.01 × 194,128.44
  4. Step 4: Simplify right side
    347,090.87x = 92,984,417,675.60
  5. Step 5: Solve for x
    x = 92,984,417,675.60/347,090.87
  6. Step 6: Final answer
    x = 267,896.47

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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.