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Finding the Fourth Proportional to 273,406.10, 410,109.15 and 193,226.90

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Solution

The fourth proportional to 273,406.10, 410,109.15 and 193,226.90 is: 289,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,406.10 : 410,109.15 = 193,226.90 : x
  2. Step 2: Convert to fraction form
    273,406.10/410,109.15 = 193,226.90/x
  3. Step 3: Cross multiply
    273,406.10x = 410,109.15 × 193,226.90
  4. Step 4: Simplify right side
    273,406.10x = 79,244,119,716.14
  5. Step 5: Solve for x
    x = 79,244,119,716.14/273,406.10
  6. Step 6: Final answer
    x = 289,840.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.