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Finding the Fourth Proportional to 468,321.72, 702,513.90 and 164,679.60

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Solution

The fourth proportional to 468,321.72, 702,513.90 and 164,679.60 is: 247,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,321.72 : 702,513.90 = 164,679.60 : x
  2. Step 2: Convert to fraction form
    468,321.72/702,513.90 = 164,679.60/x
  3. Step 3: Cross multiply
    468,321.72x = 702,513.90 × 164,679.60
  4. Step 4: Simplify right side
    468,321.72x = 115,689,708,046.44
  5. Step 5: Solve for x
    x = 115,689,708,046.44/468,321.72
  6. Step 6: Final answer
    x = 247,030.41

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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.