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Finding the Fourth Proportional to 375,438.81, 563,157.82 and 150,799.28

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Solution

The fourth proportional to 375,438.81, 563,157.82 and 150,799.28 is: 226,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,438.81 : 563,157.82 = 150,799.28 : x
  2. Step 2: Convert to fraction form
    375,438.81/563,157.82 = 150,799.28/x
  3. Step 3: Cross multiply
    375,438.81x = 563,157.82 × 150,799.28
  4. Step 4: Simplify right side
    375,438.81x = 84,923,793,782.37
  5. Step 5: Solve for x
    x = 84,923,793,782.37/375,438.81
  6. Step 6: Final answer
    x = 226,198.76

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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.