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Finding the Fourth Proportional to 410,107.22, 615,193.04 and 110,583.29

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Solution

The fourth proportional to 410,107.22, 615,193.04 and 110,583.29 is: 165,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,107.22 : 615,193.04 = 110,583.29 : x
  2. Step 2: Convert to fraction form
    410,107.22/615,193.04 = 110,583.29/x
  3. Step 3: Cross multiply
    410,107.22x = 615,193.04 × 110,583.29
  4. Step 4: Simplify right side
    410,107.22x = 68,030,072,162.74
  5. Step 5: Solve for x
    x = 68,030,072,162.74/410,107.22
  6. Step 6: Final answer
    x = 165,883.63

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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.