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Finding the Fourth Proportional to 378,189.58, 521,901.62 and 208,423.70

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Solution

The fourth proportional to 378,189.58, 521,901.62 and 208,423.70 is: 287,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,189.58 : 521,901.62 = 208,423.70 : x
  2. Step 2: Convert to fraction form
    378,189.58/521,901.62 = 208,423.70/x
  3. Step 3: Cross multiply
    378,189.58x = 521,901.62 × 208,423.70
  4. Step 4: Simplify right side
    378,189.58x = 108,776,666,676.39
  5. Step 5: Solve for x
    x = 108,776,666,676.39/378,189.58
  6. Step 6: Final answer
    x = 287,624.71

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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.