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Finding the Fourth Proportional to 408,667.52, 612,868.96 and 148,967.84

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Solution

The fourth proportional to 408,667.52, 612,868.96 and 148,967.84 is: 223,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,667.52 : 612,868.96 = 148,967.84 : x
  2. Step 2: Convert to fraction form
    408,667.52/612,868.96 = 148,967.84/x
  3. Step 3: Cross multiply
    408,667.52x = 612,868.96 × 148,967.84
  4. Step 4: Simplify right side
    408,667.52x = 91,297,765,174.25
  5. Step 5: Solve for x
    x = 91,297,765,174.25/408,667.52
  6. Step 6: Final answer
    x = 223,403.53

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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.