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Finding the Fourth Proportional to 357,647.78, 493,552.96 and 196,506.38

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Solution

The fourth proportional to 357,647.78, 493,552.96 and 196,506.38 is: 271,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,647.78 : 493,552.96 = 196,506.38 : x
  2. Step 2: Convert to fraction form
    357,647.78/493,552.96 = 196,506.38/x
  3. Step 3: Cross multiply
    357,647.78x = 493,552.96 × 196,506.38
  4. Step 4: Simplify right side
    357,647.78x = 96,986,302,548.85
  5. Step 5: Solve for x
    x = 96,986,302,548.85/357,647.78
  6. Step 6: Final answer
    x = 271,178.26

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1.5x scale

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.