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Finding the Fourth Proportional to 314,716.31, 472,077.70 and 251,935.50

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Solution

The fourth proportional to 314,716.31, 472,077.70 and 251,935.50 is: 377,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,716.31 : 472,077.70 = 251,935.50 : x
  2. Step 2: Convert to fraction form
    314,716.31/472,077.70 = 251,935.50/x
  3. Step 3: Cross multiply
    314,716.31x = 472,077.70 × 251,935.50
  4. Step 4: Simplify right side
    314,716.31x = 118,933,131,388.35
  5. Step 5: Solve for x
    x = 118,933,131,388.35/314,716.31
  6. Step 6: Final answer
    x = 377,905.84

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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.