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Finding the Fourth Proportional to 314,162.37, 471,065.03 and 214,443.27

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Solution

The fourth proportional to 314,162.37, 471,065.03 and 214,443.27 is: 321,543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,162.37 : 471,065.03 = 214,443.27 : x
  2. Step 2: Convert to fraction form
    314,162.37/471,065.03 = 214,443.27/x
  3. Step 3: Cross multiply
    314,162.37x = 471,065.03 × 214,443.27
  4. Step 4: Simplify right side
    314,162.37x = 101,016,725,415.85
  5. Step 5: Solve for x
    x = 101,016,725,415.85/314,162.37
  6. Step 6: Final answer
    x = 321,543.05

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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.