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Finding the Fourth Proportional to 378,938.34, 522,933.84 and 209,171.25

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Solution

The fourth proportional to 378,938.34, 522,933.84 and 209,171.25 is: 288,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,938.34 : 522,933.84 = 209,171.25 : x
  2. Step 2: Convert to fraction form
    378,938.34/522,933.84 = 209,171.25/x
  3. Step 3: Cross multiply
    378,938.34x = 522,933.84 × 209,171.25
  4. Step 4: Simplify right side
    378,938.34x = 109,382,724,980.10
  5. Step 5: Solve for x
    x = 109,382,724,980.10/378,938.34
  6. Step 6: Final answer
    x = 288,655.73

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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.