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Finding the Fourth Proportional to 325,422.48, 488,181.24 and 100,803

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Solution

The fourth proportional to 325,422.48, 488,181.24 and 100,803 is: 151,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,422.48 : 488,181.24 = 100,803 : x
  2. Step 2: Convert to fraction form
    325,422.48/488,181.24 = 100,803/x
  3. Step 3: Cross multiply
    325,422.48x = 488,181.24 × 100,803
  4. Step 4: Simplify right side
    325,422.48x = 49,210,133,535.72
  5. Step 5: Solve for x
    x = 49,210,133,535.72/325,422.48
  6. Step 6: Final answer
    x = 151,219.22

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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.