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Finding the Fourth Proportional to 414,529.20, 620,872.20 and 359,233.20

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Solution

The fourth proportional to 414,529.20, 620,872.20 and 359,233.20 is: 538,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,529.20 : 620,872.20 = 359,233.20 : x
  2. Step 2: Convert to fraction form
    414,529.20/620,872.20 = 359,233.20/x
  3. Step 3: Cross multiply
    414,529.20x = 620,872.20 × 359,233.20
  4. Step 4: Simplify right side
    414,529.20x = 223,037,907,197.04
  5. Step 5: Solve for x
    x = 223,037,907,197.04/414,529.20
  6. Step 6: Final answer
    x = 538,051.14

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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.