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Finding the Fourth Proportional to 341,412.14, 471,163.54 and 190,509.14

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Solution

The fourth proportional to 341,412.14, 471,163.54 and 190,509.14 is: 262,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,412.14 : 471,163.54 = 190,509.14 : x
  2. Step 2: Convert to fraction form
    341,412.14/471,163.54 = 190,509.14/x
  3. Step 3: Cross multiply
    341,412.14x = 471,163.54 × 190,509.14
  4. Step 4: Simplify right side
    341,412.14x = 89,760,960,804.76
  5. Step 5: Solve for x
    x = 89,760,960,804.76/341,412.14
  6. Step 6: Final answer
    x = 262,910.86

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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.