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Finding the Fourth Proportional to 357,443.96, 493,271.37 and 196,309.44

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Solution

The fourth proportional to 357,443.96, 493,271.37 and 196,309.44 is: 270,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,443.96 : 493,271.37 = 196,309.44 : x
  2. Step 2: Convert to fraction form
    357,443.96/493,271.37 = 196,309.44/x
  3. Step 3: Cross multiply
    357,443.96x = 493,271.37 × 196,309.44
  4. Step 4: Simplify right side
    357,443.96x = 96,833,826,412.73
  5. Step 5: Solve for x
    x = 96,833,826,412.73/357,443.96
  6. Step 6: Final answer
    x = 270,906.32

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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.