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Finding the Fourth Proportional to 300,647.16, 414,790.07 and 171,492.80

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Solution

The fourth proportional to 300,647.16, 414,790.07 and 171,492.80 is: 236,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,647.16 : 414,790.07 = 171,492.80 : x
  2. Step 2: Convert to fraction form
    300,647.16/414,790.07 = 171,492.80/x
  3. Step 3: Cross multiply
    300,647.16x = 414,790.07 × 171,492.80
  4. Step 4: Simplify right side
    300,647.16x = 71,133,507,585.08
  5. Step 5: Solve for x
    x = 71,133,507,585.08/300,647.16
  6. Step 6: Final answer
    x = 236,601.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.