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Finding the Fourth Proportional to 380,101.14, 524,311.50 and 251,039.85

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Solution

The fourth proportional to 380,101.14, 524,311.50 and 251,039.85 is: 346,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,101.14 : 524,311.50 = 251,039.85 : x
  2. Step 2: Convert to fraction form
    380,101.14/524,311.50 = 251,039.85/x
  3. Step 3: Cross multiply
    380,101.14x = 524,311.50 × 251,039.85
  4. Step 4: Simplify right side
    380,101.14x = 131,623,080,313.28
  5. Step 5: Solve for x
    x = 131,623,080,313.28/380,101.14
  6. Step 6: Final answer
    x = 346,284.36

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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.