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Finding the Fourth Proportional to 538,692.56, 743,400.96 and 296,984.80

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Solution

The fourth proportional to 538,692.56, 743,400.96 and 296,984.80 is: 409,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,692.56 : 743,400.96 = 296,984.80 : x
  2. Step 2: Convert to fraction form
    538,692.56/743,400.96 = 296,984.80/x
  3. Step 3: Cross multiply
    538,692.56x = 743,400.96 × 296,984.80
  4. Step 4: Simplify right side
    538,692.56x = 220,778,785,425.41
  5. Step 5: Solve for x
    x = 220,778,785,425.41/538,692.56
  6. Step 6: Final answer
    x = 409,841.91

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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.