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Finding the Fourth Proportional to 357,391.78, 493,202.01 and 194,048.54

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Solution

The fourth proportional to 357,391.78, 493,202.01 and 194,048.54 is: 267,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,391.78 : 493,202.01 = 194,048.54 : x
  2. Step 2: Convert to fraction form
    357,391.78/493,202.01 = 194,048.54/x
  3. Step 3: Cross multiply
    357,391.78x = 493,202.01 × 194,048.54
  4. Step 4: Simplify right side
    357,391.78x = 95,705,129,965.57
  5. Step 5: Solve for x
    x = 95,705,129,965.57/357,391.78
  6. Step 6: Final answer
    x = 267,787.72

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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.