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Finding the Fourth Proportional to 344,945.81, 476,032.51 and 194,042.81

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Solution

The fourth proportional to 344,945.81, 476,032.51 and 194,042.81 is: 267,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,945.81 : 476,032.51 = 194,042.81 : x
  2. Step 2: Convert to fraction form
    344,945.81/476,032.51 = 194,042.81/x
  3. Step 3: Cross multiply
    344,945.81x = 476,032.51 × 194,042.81
  4. Step 4: Simplify right side
    344,945.81x = 92,370,687,324.39
  5. Step 5: Solve for x
    x = 92,370,687,324.39/344,945.81
  6. Step 6: Final answer
    x = 267,783.18

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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.