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Finding the Fourth Proportional to 385,216.92, 531,745.56 and 344,855.88

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Solution

The fourth proportional to 385,216.92, 531,745.56 and 344,855.88 is: 476,032.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,216.92 : 531,745.56 = 344,855.88 : x
  2. Step 2: Convert to fraction form
    385,216.92/531,745.56 = 344,855.88/x
  3. Step 3: Cross multiply
    385,216.92x = 531,745.56 × 344,855.88
  4. Step 4: Simplify right side
    385,216.92x = 183,375,583,029.89
  5. Step 5: Solve for x
    x = 183,375,583,029.89/385,216.92
  6. Step 6: Final answer
    x = 476,032.01

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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.