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Finding the Fourth Proportional to 347,048.42, 478,951.20 and 194,100.84

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Solution

The fourth proportional to 347,048.42, 478,951.20 and 194,100.84 is: 267,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,048.42 : 478,951.20 = 194,100.84 : x
  2. Step 2: Convert to fraction form
    347,048.42/478,951.20 = 194,100.84/x
  3. Step 3: Cross multiply
    347,048.42x = 478,951.20 × 194,100.84
  4. Step 4: Simplify right side
    347,048.42x = 92,964,830,239.01
  5. Step 5: Solve for x
    x = 92,964,830,239.01/347,048.42
  6. Step 6: Final answer
    x = 267,872.80

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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.