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Finding the Fourth Proportional to 475,983.20, 714,007.20 and 151,745.60

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Solution

The fourth proportional to 475,983.20, 714,007.20 and 151,745.60 is: 227,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,983.20 : 714,007.20 = 151,745.60 : x
  2. Step 2: Convert to fraction form
    475,983.20/714,007.20 = 151,745.60/x
  3. Step 3: Cross multiply
    475,983.20x = 714,007.20 × 151,745.60
  4. Step 4: Simplify right side
    475,983.20x = 108,347,450,968.32
  5. Step 5: Solve for x
    x = 108,347,450,968.32/475,983.20
  6. Step 6: Final answer
    x = 227,628.73

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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.