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Finding the Fourth Proportional to 445,206.24, 614,353.68 and 263,908.80

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Solution

The fourth proportional to 445,206.24, 614,353.68 and 263,908.80 is: 364,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,206.24 : 614,353.68 = 263,908.80 : x
  2. Step 2: Convert to fraction form
    445,206.24/614,353.68 = 263,908.80/x
  3. Step 3: Cross multiply
    445,206.24x = 614,353.68 × 263,908.80
  4. Step 4: Simplify right side
    445,206.24x = 162,133,342,464.38
  5. Step 5: Solve for x
    x = 162,133,342,464.38/445,206.24
  6. Step 6: Final answer
    x = 364,175.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.