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Finding the Fourth Proportional to 531,819.96, 797,556.82 and 176,738.64

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Solution

The fourth proportional to 531,819.96, 797,556.82 and 176,738.64 is: 265,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,819.96 : 797,556.82 = 176,738.64 : x
  2. Step 2: Convert to fraction form
    531,819.96/797,556.82 = 176,738.64/x
  3. Step 3: Cross multiply
    531,819.96x = 797,556.82 × 176,738.64
  4. Step 4: Simplify right side
    531,819.96x = 140,959,107,689.53
  5. Step 5: Solve for x
    x = 140,959,107,689.53/531,819.96
  6. Step 6: Final answer
    x = 265,050.43

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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.