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Finding the Fourth Proportional to 273,410.65, 410,137.40 and 73,728.01

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Solution

The fourth proportional to 273,410.65, 410,137.40 and 73,728.01 is: 110,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,410.65 : 410,137.40 = 73,728.01 : x
  2. Step 2: Convert to fraction form
    273,410.65/410,137.40 = 73,728.01/x
  3. Step 3: Cross multiply
    273,410.65x = 410,137.40 × 73,728.01
  4. Step 4: Simplify right side
    273,410.65x = 30,238,613,959.93
  5. Step 5: Solve for x
    x = 30,238,613,959.93/273,410.65
  6. Step 6: Final answer
    x = 110,597.79

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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.