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Finding the Fourth Proportional to 325,618.41, 488,473.47 and 100,997.10

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Solution

The fourth proportional to 325,618.41, 488,473.47 and 100,997.10 is: 151,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,618.41 : 488,473.47 = 100,997.10 : x
  2. Step 2: Convert to fraction form
    325,618.41/488,473.47 = 100,997.10/x
  3. Step 3: Cross multiply
    325,618.41x = 488,473.47 × 100,997.10
  4. Step 4: Simplify right side
    325,618.41x = 49,334,403,896.94
  5. Step 5: Solve for x
    x = 49,334,403,896.94/325,618.41
  6. Step 6: Final answer
    x = 151,509.87

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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.