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Finding the Fourth Proportional to 303,692.40, 455,668.20 and 145,839.60

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Solution

The fourth proportional to 303,692.40, 455,668.20 and 145,839.60 is: 218,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,692.40 : 455,668.20 = 145,839.60 : x
  2. Step 2: Convert to fraction form
    303,692.40/455,668.20 = 145,839.60/x
  3. Step 3: Cross multiply
    303,692.40x = 455,668.20 × 145,839.60
  4. Step 4: Simplify right side
    303,692.40x = 66,454,468,020.72
  5. Step 5: Solve for x
    x = 66,454,468,020.72/303,692.40
  6. Step 6: Final answer
    x = 218,821.64

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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.