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Finding the Fourth Proportional to 414,538.20, 621,807.30 and 405,322.20

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Solution

The fourth proportional to 414,538.20, 621,807.30 and 405,322.20 is: 607,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,538.20 : 621,807.30 = 405,322.20 : x
  2. Step 2: Convert to fraction form
    414,538.20/621,807.30 = 405,322.20/x
  3. Step 3: Cross multiply
    414,538.20x = 621,807.30 × 405,322.20
  4. Step 4: Simplify right side
    414,538.20x = 252,032,302,812.06
  5. Step 5: Solve for x
    x = 252,032,302,812.06/414,538.20
  6. Step 6: Final answer
    x = 607,983.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.