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Finding the Fourth Proportional to 324,584.51, 447,920.07 and 197,301.11

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Solution

The fourth proportional to 324,584.51, 447,920.07 and 197,301.11 is: 272,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,584.51 : 447,920.07 = 197,301.11 : x
  2. Step 2: Convert to fraction form
    324,584.51/447,920.07 = 197,301.11/x
  3. Step 3: Cross multiply
    324,584.51x = 447,920.07 × 197,301.11
  4. Step 4: Simplify right side
    324,584.51x = 88,375,127,002.28
  5. Step 5: Solve for x
    x = 88,375,127,002.28/324,584.51
  6. Step 6: Final answer
    x = 272,271.55

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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.