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Finding the Fourth Proportional to 378,235.47, 567,441.91 and 150,544.87

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Solution

The fourth proportional to 378,235.47, 567,441.91 and 150,544.87 is: 225,852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,235.47 : 567,441.91 = 150,544.87 : x
  2. Step 2: Convert to fraction form
    378,235.47/567,441.91 = 150,544.87/x
  3. Step 3: Cross multiply
    378,235.47x = 567,441.91 × 150,544.87
  4. Step 4: Simplify right side
    378,235.47x = 85,425,464,983.57
  5. Step 5: Solve for x
    x = 85,425,464,983.57/378,235.47
  6. Step 6: Final answer
    x = 225,852.60

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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.