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Finding the Fourth Proportional to 357,734.34, 493,663.44 and 196,589.34

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Solution

The fourth proportional to 357,734.34, 493,663.44 and 196,589.34 is: 271,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,734.34 : 493,663.44 = 196,589.34 : x
  2. Step 2: Convert to fraction form
    357,734.34/493,663.44 = 196,589.34/x
  3. Step 3: Cross multiply
    357,734.34x = 493,663.44 × 196,589.34
  4. Step 4: Simplify right side
    357,734.34x = 97,048,969,851.73
  5. Step 5: Solve for x
    x = 97,048,969,851.73/357,734.34
  6. Step 6: Final answer
    x = 271,287.82

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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.