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Finding the Fourth Proportional to 347,048.64, 478,923.75 and 194,085.09

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Solution

The fourth proportional to 347,048.64, 478,923.75 and 194,085.09 is: 267,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,048.64 : 478,923.75 = 194,085.09 : x
  2. Step 2: Convert to fraction form
    347,048.64/478,923.75 = 194,085.09/x
  3. Step 3: Cross multiply
    347,048.64x = 478,923.75 × 194,085.09
  4. Step 4: Simplify right side
    347,048.64x = 92,951,959,121.89
  5. Step 5: Solve for x
    x = 92,951,959,121.89/347,048.64
  6. Step 6: Final answer
    x = 267,835.54

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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.