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Finding the Fourth Proportional to 313,293.83, 432,338.92 and 177,324.39

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Solution

The fourth proportional to 313,293.83, 432,338.92 and 177,324.39 is: 244,703.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,293.83 : 432,338.92 = 177,324.39 : x
  2. Step 2: Convert to fraction form
    313,293.83/432,338.92 = 177,324.39/x
  3. Step 3: Cross multiply
    313,293.83x = 432,338.92 × 177,324.39
  4. Step 4: Simplify right side
    313,293.83x = 76,664,234,818.95
  5. Step 5: Solve for x
    x = 76,664,234,818.95/313,293.83
  6. Step 6: Final answer
    x = 244,703.94

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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.