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Finding the Fourth Proportional to 380,754.28, 571,159.74 and 114,493.48

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Solution

The fourth proportional to 380,754.28, 571,159.74 and 114,493.48 is: 171,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,754.28 : 571,159.74 = 114,493.48 : x
  2. Step 2: Convert to fraction form
    380,754.28/571,159.74 = 114,493.48/x
  3. Step 3: Cross multiply
    380,754.28x = 571,159.74 × 114,493.48
  4. Step 4: Simplify right side
    380,754.28x = 65,394,066,268.50
  5. Step 5: Solve for x
    x = 65,394,066,268.50/380,754.28
  6. Step 6: Final answer
    x = 171,748.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.