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Finding the Fourth Proportional to 324,096.86, 447,208.88 and 180,829.06

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Solution

The fourth proportional to 324,096.86, 447,208.88 and 180,829.06 is: 249,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,096.86 : 447,208.88 = 180,829.06 : x
  2. Step 2: Convert to fraction form
    324,096.86/447,208.88 = 180,829.06/x
  3. Step 3: Cross multiply
    324,096.86x = 447,208.88 × 180,829.06
  4. Step 4: Simplify right side
    324,096.86x = 80,868,361,394.05
  5. Step 5: Solve for x
    x = 80,868,361,394.05/324,096.86
  6. Step 6: Final answer
    x = 249,519.11

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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.