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Finding the Fourth Proportional to 324,000.49, 447,120.96 and 180,760.57

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Solution

The fourth proportional to 324,000.49, 447,120.96 and 180,760.57 is: 249,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,000.49 : 447,120.96 = 180,760.57 : x
  2. Step 2: Convert to fraction form
    324,000.49/447,120.96 = 180,760.57/x
  3. Step 3: Cross multiply
    324,000.49x = 447,120.96 × 180,760.57
  4. Step 4: Simplify right side
    324,000.49x = 80,821,837,352.94
  5. Step 5: Solve for x
    x = 80,821,837,352.94/324,000.49
  6. Step 6: Final answer
    x = 249,449.74

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1.5x scale

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.