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Finding the Fourth Proportional to 465,750.20, 699,662.10 and 448,124.60

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Solution

The fourth proportional to 465,750.20, 699,662.10 and 448,124.60 is: 673,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,750.20 : 699,662.10 = 448,124.60 : x
  2. Step 2: Convert to fraction form
    465,750.20/699,662.10 = 448,124.60/x
  3. Step 3: Cross multiply
    465,750.20x = 699,662.10 × 448,124.60
  4. Step 4: Simplify right side
    465,750.20x = 313,535,798,697.66
  5. Step 5: Solve for x
    x = 313,535,798,697.66/465,750.20
  6. Step 6: Final answer
    x = 673,184.46

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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.