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Finding the Fourth Proportional to 273,405.60, 410,108.40 and 193,226.40

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Solution

The fourth proportional to 273,405.60, 410,108.40 and 193,226.40 is: 289,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,405.60 : 410,108.40 = 193,226.40 : x
  2. Step 2: Convert to fraction form
    273,405.60/410,108.40 = 193,226.40/x
  3. Step 3: Cross multiply
    273,405.60x = 410,108.40 × 193,226.40
  4. Step 4: Simplify right side
    273,405.60x = 79,243,769,741.76
  5. Step 5: Solve for x
    x = 79,243,769,741.76/273,405.60
  6. Step 6: Final answer
    x = 289,839.60

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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.