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Finding the Fourth Proportional to 291,324.14, 402,065.62 and 164,024.54

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Solution

The fourth proportional to 291,324.14, 402,065.62 and 164,024.54 is: 226,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.14 : 402,065.62 = 164,024.54 : x
  2. Step 2: Convert to fraction form
    291,324.14/402,065.62 = 164,024.54/x
  3. Step 3: Cross multiply
    291,324.14x = 402,065.62 × 164,024.54
  4. Step 4: Simplify right side
    291,324.14x = 65,948,626,359.99
  5. Step 5: Solve for x
    x = 65,948,626,359.99/291,324.14
  6. Step 6: Final answer
    x = 226,375.43

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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.