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Finding the Fourth Proportional to 410,113.35, 615,202.16 and 110,589.39

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Solution

The fourth proportional to 410,113.35, 615,202.16 and 110,589.39 is: 165,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,113.35 : 615,202.16 = 110,589.39 : x
  2. Step 2: Convert to fraction form
    410,113.35/615,202.16 = 110,589.39/x
  3. Step 3: Cross multiply
    410,113.35x = 615,202.16 × 110,589.39
  4. Step 4: Simplify right side
    410,113.35x = 68,034,831,048.14
  5. Step 5: Solve for x
    x = 68,034,831,048.14/410,113.35
  6. Step 6: Final answer
    x = 165,892.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.