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Finding the Fourth Proportional to 378,938.32, 522,935.34 and 209,172.44

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Solution

The fourth proportional to 378,938.32, 522,935.34 and 209,172.44 is: 288,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,938.32 : 522,935.34 = 209,172.44 : x
  2. Step 2: Convert to fraction form
    378,938.32/522,935.34 = 209,172.44/x
  3. Step 3: Cross multiply
    378,938.32x = 522,935.34 × 209,172.44
  4. Step 4: Simplify right side
    378,938.32x = 109,383,661,030.03
  5. Step 5: Solve for x
    x = 109,383,661,030.03/378,938.32
  6. Step 6: Final answer
    x = 288,658.22

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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.