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Finding the Fourth Proportional to 275,930.33, 414,692.14 and 256,773.72

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Solution

The fourth proportional to 275,930.33, 414,692.14 and 256,773.72 is: 385,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,930.33 : 414,692.14 = 256,773.72 : x
  2. Step 2: Convert to fraction form
    275,930.33/414,692.14 = 256,773.72/x
  3. Step 3: Cross multiply
    275,930.33x = 414,692.14 × 256,773.72
  4. Step 4: Simplify right side
    275,930.33x = 106,482,045,800.07
  5. Step 5: Solve for x
    x = 106,482,045,800.07/275,930.33
  6. Step 6: Final answer
    x = 385,901.92

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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.