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Finding the Fourth Proportional to 410,216.80, 614,979.60 and 213,224.80

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Solution

The fourth proportional to 410,216.80, 614,979.60 and 213,224.80 is: 319,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,216.80 : 614,979.60 = 213,224.80 : x
  2. Step 2: Convert to fraction form
    410,216.80/614,979.60 = 213,224.80/x
  3. Step 3: Cross multiply
    410,216.80x = 614,979.60 × 213,224.80
  4. Step 4: Simplify right side
    410,216.80x = 131,128,902,214.08
  5. Step 5: Solve for x
    x = 131,128,902,214.08/410,216.80
  6. Step 6: Final answer
    x = 319,657.56

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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.