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Finding the Fourth Proportional to 357,352.29, 493,123.82 and 196,206.30

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Solution

The fourth proportional to 357,352.29, 493,123.82 and 196,206.30 is: 270,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,352.29 : 493,123.82 = 196,206.30 : x
  2. Step 2: Convert to fraction form
    357,352.29/493,123.82 = 196,206.30/x
  3. Step 3: Cross multiply
    357,352.29x = 493,123.82 × 196,206.30
  4. Step 4: Simplify right side
    357,352.29x = 96,753,999,183.03
  5. Step 5: Solve for x
    x = 96,753,999,183.03/357,352.29
  6. Step 6: Final answer
    x = 270,752.43

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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.