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Finding the Fourth Proportional to 488,735.92, 733,218.63 and 151,759.18

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Solution

The fourth proportional to 488,735.92, 733,218.63 and 151,759.18 is: 227,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,735.92 : 733,218.63 = 151,759.18 : x
  2. Step 2: Convert to fraction form
    488,735.92/733,218.63 = 151,759.18/x
  3. Step 3: Cross multiply
    488,735.92x = 733,218.63 × 151,759.18
  4. Step 4: Simplify right side
    488,735.92x = 111,272,658,049.52
  5. Step 5: Solve for x
    x = 111,272,658,049.52/488,735.92
  6. Step 6: Final answer
    x = 227,674.40

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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.