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Finding the Fourth Proportional to 378,226.40, 521,955.60 and 208,460.96

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Solution

The fourth proportional to 378,226.40, 521,955.60 and 208,460.96 is: 287,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,226.40 : 521,955.60 = 208,460.96 : x
  2. Step 2: Convert to fraction form
    378,226.40/521,955.60 = 208,460.96/x
  3. Step 3: Cross multiply
    378,226.40x = 521,955.60 × 208,460.96
  4. Step 4: Simplify right side
    378,226.40x = 108,807,365,453.38
  5. Step 5: Solve for x
    x = 108,807,365,453.38/378,226.40
  6. Step 6: Final answer
    x = 287,677.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.