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Finding the Fourth Proportional to 454,209.56, 681,419.80 and 154,692.73

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Solution

The fourth proportional to 454,209.56, 681,419.80 and 154,692.73 is: 232,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,209.56 : 681,419.80 = 154,692.73 : x
  2. Step 2: Convert to fraction form
    454,209.56/681,419.80 = 154,692.73/x
  3. Step 3: Cross multiply
    454,209.56x = 681,419.80 × 154,692.73
  4. Step 4: Simplify right side
    454,209.56x = 105,410,691,034.97
  5. Step 5: Solve for x
    x = 105,410,691,034.97/454,209.56
  6. Step 6: Final answer
    x = 232,075.02

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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.