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Finding the Fourth Proportional to 810,003.60, 1,214,713.80 and 410,511.60

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Solution

The fourth proportional to 810,003.60, 1,214,713.80 and 410,511.60 is: 615,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,003.60 : 1,214,713.80 = 410,511.60 : x
  2. Step 2: Convert to fraction form
    810,003.60/1,214,713.80 = 410,511.60/x
  3. Step 3: Cross multiply
    810,003.60x = 1,214,713.80 × 410,511.60
  4. Step 4: Simplify right side
    810,003.60x = 498,654,105,580.08
  5. Step 5: Solve for x
    x = 498,654,105,580.08/810,003.60
  6. Step 6: Final answer
    x = 615,619.62

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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.