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Finding the Fourth Proportional to 429,784.80, 644,806.80 and 230,200.80

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Solution

The fourth proportional to 429,784.80, 644,806.80 and 230,200.80 is: 345,370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,784.80 : 644,806.80 = 230,200.80 : x
  2. Step 2: Convert to fraction form
    429,784.80/644,806.80 = 230,200.80/x
  3. Step 3: Cross multiply
    429,784.80x = 644,806.80 × 230,200.80
  4. Step 4: Simplify right side
    429,784.80x = 148,435,041,205.44
  5. Step 5: Solve for x
    x = 148,435,041,205.44/429,784.80
  6. Step 6: Final answer
    x = 345,370.62

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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.