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Finding the Fourth Proportional to 433,423.80, 650,123.55 and 196,766.10

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Solution

The fourth proportional to 433,423.80, 650,123.55 and 196,766.10 is: 295,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,423.80 : 650,123.55 = 196,766.10 : x
  2. Step 2: Convert to fraction form
    433,423.80/650,123.55 = 196,766.10/x
  3. Step 3: Cross multiply
    433,423.80x = 650,123.55 × 196,766.10
  4. Step 4: Simplify right side
    433,423.80x = 127,922,275,451.66
  5. Step 5: Solve for x
    x = 127,922,275,451.66/433,423.80
  6. Step 6: Final answer
    x = 295,143.63

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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.