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Finding the Fourth Proportional to 392,106.36, 587,842.74 and 152,096.34

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Solution

The fourth proportional to 392,106.36, 587,842.74 and 152,096.34 is: 228,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,106.36 : 587,842.74 = 152,096.34 : x
  2. Step 2: Convert to fraction form
    392,106.36/587,842.74 = 152,096.34/x
  3. Step 3: Cross multiply
    392,106.36x = 587,842.74 × 152,096.34
  4. Step 4: Simplify right side
    392,106.36x = 89,408,729,249.57
  5. Step 5: Solve for x
    x = 89,408,729,249.57/392,106.36
  6. Step 6: Final answer
    x = 228,021.62

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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.