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Finding the Fourth Proportional to 366,974.74, 506,419.05 and 214,101.82

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Solution

The fourth proportional to 366,974.74, 506,419.05 and 214,101.82 is: 295,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,974.74 : 506,419.05 = 214,101.82 : x
  2. Step 2: Convert to fraction form
    366,974.74/506,419.05 = 214,101.82/x
  3. Step 3: Cross multiply
    366,974.74x = 506,419.05 × 214,101.82
  4. Step 4: Simplify right side
    366,974.74x = 108,425,240,287.67
  5. Step 5: Solve for x
    x = 108,425,240,287.67/366,974.74
  6. Step 6: Final answer
    x = 295,456.96

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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.