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Finding the Fourth Proportional to 357,352.46, 493,142.99 and 196,206.10

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Solution

The fourth proportional to 357,352.46, 493,142.99 and 196,206.10 is: 270,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,352.46 : 493,142.99 = 196,206.10 : x
  2. Step 2: Convert to fraction form
    357,352.46/493,142.99 = 196,206.10/x
  3. Step 3: Cross multiply
    357,352.46x = 493,142.99 × 196,206.10
  4. Step 4: Simplify right side
    357,352.46x = 96,757,660,596.35
  5. Step 5: Solve for x
    x = 96,757,660,596.35/357,352.46
  6. Step 6: Final answer
    x = 270,762.54

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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.