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Finding the Fourth Proportional to 324,138.90, 447,310.68 and 180,897.68

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Solution

The fourth proportional to 324,138.90, 447,310.68 and 180,897.68 is: 249,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,138.90 : 447,310.68 = 180,897.68 : x
  2. Step 2: Convert to fraction form
    324,138.90/447,310.68 = 180,897.68/x
  3. Step 3: Cross multiply
    324,138.90x = 447,310.68 × 180,897.68
  4. Step 4: Simplify right side
    324,138.90x = 80,917,464,251.22
  5. Step 5: Solve for x
    x = 80,917,464,251.22/324,138.90
  6. Step 6: Final answer
    x = 249,638.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.