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Finding the Fourth Proportional to 346,606.63, 478,308.34 and 193,645.97

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Solution

The fourth proportional to 346,606.63, 478,308.34 and 193,645.97 is: 267,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,606.63 : 478,308.34 = 193,645.97 : x
  2. Step 2: Convert to fraction form
    346,606.63/478,308.34 = 193,645.97/x
  3. Step 3: Cross multiply
    346,606.63x = 478,308.34 × 193,645.97
  4. Step 4: Simplify right side
    346,606.63x = 92,622,481,286.36
  5. Step 5: Solve for x
    x = 92,622,481,286.36/346,606.63
  6. Step 6: Final answer
    x = 267,226.51

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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.