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Finding the Fourth Proportional to 466,403.40, 699,086.70 and 200,118.60

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Solution

The fourth proportional to 466,403.40, 699,086.70 and 200,118.60 is: 299,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,403.40 : 699,086.70 = 200,118.60 : x
  2. Step 2: Convert to fraction form
    466,403.40/699,086.70 = 200,118.60/x
  3. Step 3: Cross multiply
    466,403.40x = 699,086.70 × 200,118.60
  4. Step 4: Simplify right side
    466,403.40x = 139,900,251,682.62
  5. Step 5: Solve for x
    x = 139,900,251,682.62/466,403.40
  6. Step 6: Final answer
    x = 299,955.47

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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.