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Finding the Fourth Proportional to 324,098, 447,255.33 and 178,903.87

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Solution

The fourth proportional to 324,098, 447,255.33 and 178,903.87 is: 246,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,098 : 447,255.33 = 178,903.87 : x
  2. Step 2: Convert to fraction form
    324,098/447,255.33 = 178,903.87/x
  3. Step 3: Cross multiply
    324,098x = 447,255.33 × 178,903.87
  4. Step 4: Simplify right side
    324,098x = 80,015,709,415.13
  5. Step 5: Solve for x
    x = 80,015,709,415.13/324,098
  6. Step 6: Final answer
    x = 246,887.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.