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Finding the Fourth Proportional to 378,497.66, 522,309.20 and 217,239.21

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Solution

The fourth proportional to 378,497.66, 522,309.20 and 217,239.21 is: 299,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,497.66 : 522,309.20 = 217,239.21 : x
  2. Step 2: Convert to fraction form
    378,497.66/522,309.20 = 217,239.21/x
  3. Step 3: Cross multiply
    378,497.66x = 522,309.20 × 217,239.21
  4. Step 4: Simplify right side
    378,497.66x = 113,466,036,897.54
  5. Step 5: Solve for x
    x = 113,466,036,897.54/378,497.66
  6. Step 6: Final answer
    x = 299,780.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.