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Finding the Fourth Proportional to 420,511.50, 631,029.69 and 171,193.50

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Solution

The fourth proportional to 420,511.50, 631,029.69 and 171,193.50 is: 256,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,511.50 : 631,029.69 = 171,193.50 : x
  2. Step 2: Convert to fraction form
    420,511.50/631,029.69 = 171,193.50/x
  3. Step 3: Cross multiply
    420,511.50x = 631,029.69 × 171,193.50
  4. Step 4: Simplify right side
    420,511.50x = 108,028,181,235.02
  5. Step 5: Solve for x
    x = 108,028,181,235.02/420,511.50
  6. Step 6: Final answer
    x = 256,897.09

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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.