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Finding the Fourth Proportional to 454,023.80, 680,549.70 and 154,226.60

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Solution

The fourth proportional to 454,023.80, 680,549.70 and 154,226.60 is: 231,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,023.80 : 680,549.70 = 154,226.60 : x
  2. Step 2: Convert to fraction form
    454,023.80/680,549.70 = 154,226.60/x
  3. Step 3: Cross multiply
    454,023.80x = 680,549.70 × 154,226.60
  4. Step 4: Simplify right side
    454,023.80x = 104,958,866,362.02
  5. Step 5: Solve for x
    x = 104,958,866,362.02/454,023.80
  6. Step 6: Final answer
    x = 231,174.81

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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.