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Finding the Fourth Proportional to 378,177.40, 521,884.82 and 208,411.52

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Solution

The fourth proportional to 378,177.40, 521,884.82 and 208,411.52 is: 287,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,177.40 : 521,884.82 = 208,411.52 : x
  2. Step 2: Convert to fraction form
    378,177.40/521,884.82 = 208,411.52/x
  3. Step 3: Cross multiply
    378,177.40x = 521,884.82 × 208,411.52
  4. Step 4: Simplify right side
    378,177.40x = 108,766,808,601.13
  5. Step 5: Solve for x
    x = 108,766,808,601.13/378,177.40
  6. Step 6: Final answer
    x = 287,607.90

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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.