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Finding the Fourth Proportional to 468,098.66, 645,992.64 and 264,137.62

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Solution

The fourth proportional to 468,098.66, 645,992.64 and 264,137.62 is: 364,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,098.66 : 645,992.64 = 264,137.62 : x
  2. Step 2: Convert to fraction form
    468,098.66/645,992.64 = 264,137.62/x
  3. Step 3: Cross multiply
    468,098.66x = 645,992.64 × 264,137.62
  4. Step 4: Simplify right side
    468,098.66x = 170,630,958,467.12
  5. Step 5: Solve for x
    x = 170,630,958,467.12/468,098.66
  6. Step 6: Final answer
    x = 364,519.22

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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.