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Finding the Fourth Proportional to 293,405.10, 440,107.65 and 273,722.10

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Solution

The fourth proportional to 293,405.10, 440,107.65 and 273,722.10 is: 410,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,405.10 : 440,107.65 = 273,722.10 : x
  2. Step 2: Convert to fraction form
    293,405.10/440,107.65 = 273,722.10/x
  3. Step 3: Cross multiply
    293,405.10x = 440,107.65 × 273,722.10
  4. Step 4: Simplify right side
    293,405.10x = 120,467,190,184.07
  5. Step 5: Solve for x
    x = 120,467,190,184.07/293,405.10
  6. Step 6: Final answer
    x = 410,583.15

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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.