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Finding the Fourth Proportional to 465,850.40, 699,301.20 and 308,386.40

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Solution

The fourth proportional to 465,850.40, 699,301.20 and 308,386.40 is: 462,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,850.40 : 699,301.20 = 308,386.40 : x
  2. Step 2: Convert to fraction form
    465,850.40/699,301.20 = 308,386.40/x
  3. Step 3: Cross multiply
    465,850.40x = 699,301.20 × 308,386.40
  4. Step 4: Simplify right side
    465,850.40x = 215,654,979,583.68
  5. Step 5: Solve for x
    x = 215,654,979,583.68/465,850.40
  6. Step 6: Final answer
    x = 462,927.54

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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.