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Finding the Fourth Proportional to 378,938.84, 522,934.53 and 209,171.75

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Solution

The fourth proportional to 378,938.84, 522,934.53 and 209,171.75 is: 288,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,938.84 : 522,934.53 = 209,171.75 : x
  2. Step 2: Convert to fraction form
    378,938.84/522,934.53 = 209,171.75/x
  3. Step 3: Cross multiply
    378,938.84x = 522,934.53 × 209,171.75
  4. Step 4: Simplify right side
    378,938.84x = 109,383,130,775.53
  5. Step 5: Solve for x
    x = 109,383,130,775.53/378,938.84
  6. Step 6: Final answer
    x = 288,656.42

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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.