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Finding the Fourth Proportional to 378,038.65, 521,342.90 and 275,902.33

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Solution

The fourth proportional to 378,038.65, 521,342.90 and 275,902.33 is: 380,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,038.65 : 521,342.90 = 275,902.33 : x
  2. Step 2: Convert to fraction form
    378,038.65/521,342.90 = 275,902.33/x
  3. Step 3: Cross multiply
    378,038.65x = 521,342.90 × 275,902.33
  4. Step 4: Simplify right side
    378,038.65x = 143,839,716,852.73
  5. Step 5: Solve for x
    x = 143,839,716,852.73/378,038.65
  6. Step 6: Final answer
    x = 380,489.45

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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.