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Finding the Fourth Proportional to 322,975.40, 484,268.70 and 165,511.40

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Solution

The fourth proportional to 322,975.40, 484,268.70 and 165,511.40 is: 248,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,975.40 : 484,268.70 = 165,511.40 : x
  2. Step 2: Convert to fraction form
    322,975.40/484,268.70 = 165,511.40/x
  3. Step 3: Cross multiply
    322,975.40x = 484,268.70 × 165,511.40
  4. Step 4: Simplify right side
    322,975.40x = 80,151,990,513.18
  5. Step 5: Solve for x
    x = 80,151,990,513.18/322,975.40
  6. Step 6: Final answer
    x = 248,167.48

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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.