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Finding the Fourth Proportional to 347,885.82, 480,076.22 and 194,923.40

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Solution

The fourth proportional to 347,885.82, 480,076.22 and 194,923.40 is: 268,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,885.82 : 480,076.22 = 194,923.40 : x
  2. Step 2: Convert to fraction form
    347,885.82/480,076.22 = 194,923.40/x
  3. Step 3: Cross multiply
    347,885.82x = 480,076.22 × 194,923.40
  4. Step 4: Simplify right side
    347,885.82x = 93,578,089,061.55
  5. Step 5: Solve for x
    x = 93,578,089,061.55/347,885.82
  6. Step 6: Final answer
    x = 268,990.81

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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.