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Finding the Fourth Proportional to 357,391.28, 493,201.32 and 194,048.04

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Solution

The fourth proportional to 357,391.28, 493,201.32 and 194,048.04 is: 267,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,391.28 : 493,201.32 = 194,048.04 : x
  2. Step 2: Convert to fraction form
    357,391.28/493,201.32 = 194,048.04/x
  3. Step 3: Cross multiply
    357,391.28x = 493,201.32 × 194,048.04
  4. Step 4: Simplify right side
    357,391.28x = 95,704,749,471.41
  5. Step 5: Solve for x
    x = 95,704,749,471.41/357,391.28
  6. Step 6: Final answer
    x = 267,787.03

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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.