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Finding the Fourth Proportional to 380,414.46, 524,971.58 and 210,648.58

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Solution

The fourth proportional to 380,414.46, 524,971.58 and 210,648.58 is: 290,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,414.46 : 524,971.58 = 210,648.58 : x
  2. Step 2: Convert to fraction form
    380,414.46/524,971.58 = 210,648.58/x
  3. Step 3: Cross multiply
    380,414.46x = 524,971.58 × 210,648.58
  4. Step 4: Simplify right side
    380,414.46x = 110,584,517,867.36
  5. Step 5: Solve for x
    x = 110,584,517,867.36/380,414.46
  6. Step 6: Final answer
    x = 290,694.83

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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.