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Finding the Fourth Proportional to 380,414.67, 524,965.75 and 210,645.15

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Solution

The fourth proportional to 380,414.67, 524,965.75 and 210,645.15 is: 290,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,414.67 : 524,965.75 = 210,645.15 : x
  2. Step 2: Convert to fraction form
    380,414.67/524,965.75 = 210,645.15/x
  3. Step 3: Cross multiply
    380,414.67x = 524,965.75 × 210,645.15
  4. Step 4: Simplify right side
    380,414.67x = 110,581,489,153.61
  5. Step 5: Solve for x
    x = 110,581,489,153.61/380,414.67
  6. Step 6: Final answer
    x = 290,686.71

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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.