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Finding the Fourth Proportional to 414,438.64, 621,733.12 and 171,280.11

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Solution

The fourth proportional to 414,438.64, 621,733.12 and 171,280.11 is: 256,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,438.64 : 621,733.12 = 171,280.11 : x
  2. Step 2: Convert to fraction form
    414,438.64/621,733.12 = 171,280.11/x
  3. Step 3: Cross multiply
    414,438.64x = 621,733.12 × 171,280.11
  4. Step 4: Simplify right side
    414,438.64x = 106,490,519,087.54
  5. Step 5: Solve for x
    x = 106,490,519,087.54/414,438.64
  6. Step 6: Final answer
    x = 256,951.23

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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.