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Finding the Fourth Proportional to 307,369.66, 461,028.56 and 173,829.82

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Solution

The fourth proportional to 307,369.66, 461,028.56 and 173,829.82 is: 260,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,369.66 : 461,028.56 = 173,829.82 : x
  2. Step 2: Convert to fraction form
    307,369.66/461,028.56 = 173,829.82/x
  3. Step 3: Cross multiply
    307,369.66x = 461,028.56 × 173,829.82
  4. Step 4: Simplify right side
    307,369.66x = 80,140,511,599.66
  5. Step 5: Solve for x
    x = 80,140,511,599.66/307,369.66
  6. Step 6: Final answer
    x = 260,730.07

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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.