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Finding the Fourth Proportional to 314,260.44, 471,187.83 and 134,463.21

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Solution

The fourth proportional to 314,260.44, 471,187.83 and 134,463.21 is: 201,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,260.44 : 471,187.83 = 134,463.21 : x
  2. Step 2: Convert to fraction form
    314,260.44/471,187.83 = 134,463.21/x
  3. Step 3: Cross multiply
    314,260.44x = 471,187.83 × 134,463.21
  4. Step 4: Simplify right side
    314,260.44x = 63,357,428,134.73
  5. Step 5: Solve for x
    x = 63,357,428,134.73/314,260.44
  6. Step 6: Final answer
    x = 201,608.03

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Why These Related Problems?

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