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Finding the Fourth Proportional to 414,530.20, 620,873.70 and 359,234.20

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Solution

The fourth proportional to 414,530.20, 620,873.70 and 359,234.20 is: 538,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,530.20 : 620,873.70 = 359,234.20 : x
  2. Step 2: Convert to fraction form
    414,530.20/620,873.70 = 359,234.20/x
  3. Step 3: Cross multiply
    414,530.20x = 620,873.70 × 359,234.20
  4. Step 4: Simplify right side
    414,530.20x = 223,039,066,920.54
  5. Step 5: Solve for x
    x = 223,039,066,920.54/414,530.20
  6. Step 6: Final answer
    x = 538,052.64

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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.