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Finding the Fourth Proportional to 410,178.60, 615,383.10 and 199,823.40

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Solution

The fourth proportional to 410,178.60, 615,383.10 and 199,823.40 is: 299,791.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,178.60 : 615,383.10 = 199,823.40 : x
  2. Step 2: Convert to fraction form
    410,178.60/615,383.10 = 199,823.40/x
  3. Step 3: Cross multiply
    410,178.60x = 615,383.10 × 199,823.40
  4. Step 4: Simplify right side
    410,178.60x = 122,967,943,344.54
  5. Step 5: Solve for x
    x = 122,967,943,344.54/410,178.60
  6. Step 6: Final answer
    x = 299,791.22

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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.