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Finding the Fourth Proportional to 468,351.50, 702,558.52 and 164,709.22

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Solution

The fourth proportional to 468,351.50, 702,558.52 and 164,709.22 is: 247,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,351.50 : 702,558.52 = 164,709.22 : x
  2. Step 2: Convert to fraction form
    468,351.50/702,558.52 = 164,709.22/x
  3. Step 3: Cross multiply
    468,351.50x = 702,558.52 × 164,709.22
  4. Step 4: Simplify right side
    468,351.50x = 115,717,865,833.55
  5. Step 5: Solve for x
    x = 115,717,865,833.55/468,351.50
  6. Step 6: Final answer
    x = 247,074.83

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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.