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Finding the Fourth Proportional to 361,053.06, 498,096.36 and 217,733.46

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Solution

The fourth proportional to 361,053.06, 498,096.36 and 217,733.46 is: 300,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,053.06 : 498,096.36 = 217,733.46 : x
  2. Step 2: Convert to fraction form
    361,053.06/498,096.36 = 217,733.46/x
  3. Step 3: Cross multiply
    361,053.06x = 498,096.36 × 217,733.46
  4. Step 4: Simplify right side
    361,053.06x = 108,452,243,876.21
  5. Step 5: Solve for x
    x = 108,452,243,876.21/361,053.06
  6. Step 6: Final answer
    x = 300,377.58

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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.