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Finding the Fourth Proportional to 378,364.38, 567,280.45 and 175,745.37

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Solution

The fourth proportional to 378,364.38, 567,280.45 and 175,745.37 is: 263,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,364.38 : 567,280.45 = 175,745.37 : x
  2. Step 2: Convert to fraction form
    378,364.38/567,280.45 = 175,745.37/x
  3. Step 3: Cross multiply
    378,364.38x = 567,280.45 × 175,745.37
  4. Step 4: Simplify right side
    378,364.38x = 99,696,912,579.02
  5. Step 5: Solve for x
    x = 99,696,912,579.02/378,364.38
  6. Step 6: Final answer
    x = 263,494.45

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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.