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Finding the Fourth Proportional to 429,854.80, 644,911.80 and 230,270.80

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Solution

The fourth proportional to 429,854.80, 644,911.80 and 230,270.80 is: 345,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,854.80 : 644,911.80 = 230,270.80 : x
  2. Step 2: Convert to fraction form
    429,854.80/644,911.80 = 230,270.80/x
  3. Step 3: Cross multiply
    429,854.80x = 644,911.80 × 230,270.80
  4. Step 4: Simplify right side
    429,854.80x = 148,504,356,115.44
  5. Step 5: Solve for x
    x = 148,504,356,115.44/429,854.80
  6. Step 6: Final answer
    x = 345,475.63

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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.