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Finding the Fourth Proportional to 378,122.13, 521,806.05 and 208,356.30

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Solution

The fourth proportional to 378,122.13, 521,806.05 and 208,356.30 is: 287,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,122.13 : 521,806.05 = 208,356.30 : x
  2. Step 2: Convert to fraction form
    378,122.13/521,806.05 = 208,356.30/x
  3. Step 3: Cross multiply
    378,122.13x = 521,806.05 × 208,356.30
  4. Step 4: Simplify right side
    378,122.13x = 108,721,577,895.62
  5. Step 5: Solve for x
    x = 108,721,577,895.62/378,122.13
  6. Step 6: Final answer
    x = 287,530.32

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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.