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Finding the Fourth Proportional to 468,229.12, 702,375.46 and 164,586.40

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Solution

The fourth proportional to 468,229.12, 702,375.46 and 164,586.40 is: 246,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,229.12 : 702,375.46 = 164,586.40 : x
  2. Step 2: Convert to fraction form
    468,229.12/702,375.46 = 164,586.40/x
  3. Step 3: Cross multiply
    468,229.12x = 702,375.46 × 164,586.40
  4. Step 4: Simplify right side
    468,229.12x = 115,601,448,409.74
  5. Step 5: Solve for x
    x = 115,601,448,409.74/468,229.12
  6. Step 6: Final answer
    x = 246,890.77

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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.