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Finding the Fourth Proportional to 465,895.80, 699,007.68 and 229,404.60

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Solution

The fourth proportional to 465,895.80, 699,007.68 and 229,404.60 is: 344,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,895.80 : 699,007.68 = 229,404.60 : x
  2. Step 2: Convert to fraction form
    465,895.80/699,007.68 = 229,404.60/x
  3. Step 3: Cross multiply
    465,895.80x = 699,007.68 × 229,404.60
  4. Step 4: Simplify right side
    465,895.80x = 160,355,577,227.33
  5. Step 5: Solve for x
    x = 160,355,577,227.33/465,895.80
  6. Step 6: Final answer
    x = 344,187.64

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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.