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Finding the Fourth Proportional to 300,802.44, 415,107.37 and 164,841.74

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Solution

The fourth proportional to 300,802.44, 415,107.37 and 164,841.74 is: 227,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,802.44 : 415,107.37 = 164,841.74 : x
  2. Step 2: Convert to fraction form
    300,802.44/415,107.37 = 164,841.74/x
  3. Step 3: Cross multiply
    300,802.44x = 415,107.37 × 164,841.74
  4. Step 4: Simplify right side
    300,802.44x = 68,427,019,591.43
  5. Step 5: Solve for x
    x = 68,427,019,591.43/300,802.44
  6. Step 6: Final answer
    x = 227,481.60

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1.5x scale

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.