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Finding the Fourth Proportional to 357,363.34, 493,158 and 196,216.98

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Solution

The fourth proportional to 357,363.34, 493,158 and 196,216.98 is: 270,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,363.34 : 493,158 = 196,216.98 : x
  2. Step 2: Convert to fraction form
    357,363.34/493,158 = 196,216.98/x
  3. Step 3: Cross multiply
    357,363.34x = 493,158 × 196,216.98
  4. Step 4: Simplify right side
    357,363.34x = 96,765,973,422.84
  5. Step 5: Solve for x
    x = 96,765,973,422.84/357,363.34
  6. Step 6: Final answer
    x = 270,777.56

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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.