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Finding the Fourth Proportional to 273,914.30, 410,290.14 and 178,808.42

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Solution

The fourth proportional to 273,914.30, 410,290.14 and 178,808.42 is: 267,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,914.30 : 410,290.14 = 178,808.42 : x
  2. Step 2: Convert to fraction form
    273,914.30/410,290.14 = 178,808.42/x
  3. Step 3: Cross multiply
    273,914.30x = 410,290.14 × 178,808.42
  4. Step 4: Simplify right side
    273,914.30x = 73,363,331,674.98
  5. Step 5: Solve for x
    x = 73,363,331,674.98/273,914.30
  6. Step 6: Final answer
    x = 267,833.16

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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.