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Finding the Fourth Proportional to 378,148.70, 521,864.67 and 208,382.83

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Solution

The fourth proportional to 378,148.70, 521,864.67 and 208,382.83 is: 287,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,148.70 : 521,864.67 = 208,382.83 : x
  2. Step 2: Convert to fraction form
    378,148.70/521,864.67 = 208,382.83/x
  3. Step 3: Cross multiply
    378,148.70x = 521,864.67 × 208,382.83
  4. Step 4: Simplify right side
    378,148.70x = 108,747,636,288.39
  5. Step 5: Solve for x
    x = 108,747,636,288.39/378,148.70
  6. Step 6: Final answer
    x = 287,579.03

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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.