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Finding the Fourth Proportional to 324,308.18, 486,683.70 and 113,946.12

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Solution

The fourth proportional to 324,308.18, 486,683.70 and 113,946.12 is: 170,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,308.18 : 486,683.70 = 113,946.12 : x
  2. Step 2: Convert to fraction form
    324,308.18/486,683.70 = 113,946.12/x
  3. Step 3: Cross multiply
    324,308.18x = 486,683.70 × 113,946.12
  4. Step 4: Simplify right side
    324,308.18x = 55,455,718,287.33
  5. Step 5: Solve for x
    x = 55,455,718,287.33/324,308.18
  6. Step 6: Final answer
    x = 170,996.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.