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Finding the Fourth Proportional to 324,105.52, 447,212.13 and 180,865.23

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Solution

The fourth proportional to 324,105.52, 447,212.13 and 180,865.23 is: 249,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,105.52 : 447,212.13 = 180,865.23 : x
  2. Step 2: Convert to fraction form
    324,105.52/447,212.13 = 180,865.23/x
  3. Step 3: Cross multiply
    324,105.52x = 447,212.13 × 180,865.23
  4. Step 4: Simplify right side
    324,105.52x = 80,885,124,751.24
  5. Step 5: Solve for x
    x = 80,885,124,751.24/324,105.52
  6. Step 6: Final answer
    x = 249,564.17

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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.