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Finding the Fourth Proportional to 469,692.50, 704,668.35 and 137,268.50

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Solution

The fourth proportional to 469,692.50, 704,668.35 and 137,268.50 is: 205,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,692.50 : 704,668.35 = 137,268.50 : x
  2. Step 2: Convert to fraction form
    469,692.50/704,668.35 = 137,268.50/x
  3. Step 3: Cross multiply
    469,692.50x = 704,668.35 × 137,268.50
  4. Step 4: Simplify right side
    469,692.50x = 96,728,767,401.98
  5. Step 5: Solve for x
    x = 96,728,767,401.98/469,692.50
  6. Step 6: Final answer
    x = 205,940.63

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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.