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Finding the Fourth Proportional to 357,942.48, 493,948 and 196,796.28

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Solution

The fourth proportional to 357,942.48, 493,948 and 196,796.28 is: 271,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,942.48 : 493,948 = 196,796.28 : x
  2. Step 2: Convert to fraction form
    357,942.48/493,948 = 196,796.28/x
  3. Step 3: Cross multiply
    357,942.48x = 493,948 × 196,796.28
  4. Step 4: Simplify right side
    357,942.48x = 97,207,128,913.44
  5. Step 5: Solve for x
    x = 97,207,128,913.44/357,942.48
  6. Step 6: Final answer
    x = 271,571.93

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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.