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Finding the Fourth Proportional to 365,765.14, 548,472.75 and 155,288.26

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Solution

The fourth proportional to 365,765.14, 548,472.75 and 155,288.26 is: 232,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,765.14 : 548,472.75 = 155,288.26 : x
  2. Step 2: Convert to fraction form
    365,765.14/548,472.75 = 155,288.26/x
  3. Step 3: Cross multiply
    365,765.14x = 548,472.75 × 155,288.26
  4. Step 4: Simplify right side
    365,765.14x = 85,171,379,004.92
  5. Step 5: Solve for x
    x = 85,171,379,004.92/365,765.14
  6. Step 6: Final answer
    x = 232,858.11

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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.