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Finding the Fourth Proportional to 430,485.72, 645,727.50 and 205,163.16

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Solution

The fourth proportional to 430,485.72, 645,727.50 and 205,163.16 is: 307,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,485.72 : 645,727.50 = 205,163.16 : x
  2. Step 2: Convert to fraction form
    430,485.72/645,727.50 = 205,163.16/x
  3. Step 3: Cross multiply
    430,485.72x = 645,727.50 × 205,163.16
  4. Step 4: Simplify right side
    430,485.72x = 132,479,494,398.90
  5. Step 5: Solve for x
    x = 132,479,494,398.90/430,485.72
  6. Step 6: Final answer
    x = 307,744.23

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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.