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Finding the Fourth Proportional to 378,211.96, 521,931.45 and 208,446.04

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Solution

The fourth proportional to 378,211.96, 521,931.45 and 208,446.04 is: 287,654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,211.96 : 521,931.45 = 208,446.04 : x
  2. Step 2: Convert to fraction form
    378,211.96/521,931.45 = 208,446.04/x
  3. Step 3: Cross multiply
    378,211.96x = 521,931.45 × 208,446.04
  4. Step 4: Simplify right side
    378,211.96x = 108,794,543,903.96
  5. Step 5: Solve for x
    x = 108,794,543,903.96/378,211.96
  6. Step 6: Final answer
    x = 287,654.95

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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.