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Finding the Fourth Proportional to 383,812.15, 575,471.86 and 159,327.54

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Solution

The fourth proportional to 383,812.15, 575,471.86 and 159,327.54 is: 238,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,812.15 : 575,471.86 = 159,327.54 : x
  2. Step 2: Convert to fraction form
    383,812.15/575,471.86 = 159,327.54/x
  3. Step 3: Cross multiply
    383,812.15x = 575,471.86 × 159,327.54
  4. Step 4: Simplify right side
    383,812.15x = 91,688,515,793.02
  5. Step 5: Solve for x
    x = 91,688,515,793.02/383,812.15
  6. Step 6: Final answer
    x = 238,889.04

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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.