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Finding the Fourth Proportional to 1,165,097.76, 1,607,450.40 and 949,867.80

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Solution

The fourth proportional to 1,165,097.76, 1,607,450.40 and 949,867.80 is: 1,310,504.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,097.76 : 1,607,450.40 = 949,867.80 : x
  2. Step 2: Convert to fraction form
    1,165,097.76/1,607,450.40 = 949,867.80/x
  3. Step 3: Cross multiply
    1,165,097.76x = 1,607,450.40 × 949,867.80
  4. Step 4: Simplify right side
    1,165,097.76x = 1,526,865,375,057.12
  5. Step 5: Solve for x
    x = 1,526,865,375,057.12/1,165,097.76
  6. Step 6: Final answer
    x = 1,310,504.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.