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Finding the Fourth Proportional to 291,819.97, 402,717.72 and 164,495.53

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Solution

The fourth proportional to 291,819.97, 402,717.72 and 164,495.53 is: 227,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,819.97 : 402,717.72 = 164,495.53 : x
  2. Step 2: Convert to fraction form
    291,819.97/402,717.72 = 164,495.53/x
  3. Step 3: Cross multiply
    291,819.97x = 402,717.72 × 164,495.53
  4. Step 4: Simplify right side
    291,819.97x = 66,245,264,791.79
  5. Step 5: Solve for x
    x = 66,245,264,791.79/291,819.97
  6. Step 6: Final answer
    x = 227,007.30

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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.