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Finding the Fourth Proportional to 466,433.40, 699,131.70 and 200,148.60

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Solution

The fourth proportional to 466,433.40, 699,131.70 and 200,148.60 is: 300,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,433.40 : 699,131.70 = 200,148.60 : x
  2. Step 2: Convert to fraction form
    466,433.40/699,131.70 = 200,148.60/x
  3. Step 3: Cross multiply
    466,433.40x = 699,131.70 × 200,148.60
  4. Step 4: Simplify right side
    466,433.40x = 139,930,230,970.62
  5. Step 5: Solve for x
    x = 139,930,230,970.62/466,433.40
  6. Step 6: Final answer
    x = 300,000.45

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1.5x scale

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.