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Finding the Fourth Proportional to 322,045.98, 443,692.32 and 249,198.36

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Solution

The fourth proportional to 322,045.98, 443,692.32 and 249,198.36 is: 343,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,045.98 : 443,692.32 = 249,198.36 : x
  2. Step 2: Convert to fraction form
    322,045.98/443,692.32 = 249,198.36/x
  3. Step 3: Cross multiply
    322,045.98x = 443,692.32 × 249,198.36
  4. Step 4: Simplify right side
    322,045.98x = 110,567,398,488.60
  5. Step 5: Solve for x
    x = 110,567,398,488.60/322,045.98
  6. Step 6: Final answer
    x = 343,327.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.