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Finding the Fourth Proportional to 370,537.92, 511,344.09 and 200,772

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Solution

The fourth proportional to 370,537.92, 511,344.09 and 200,772 is: 277,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,537.92 : 511,344.09 = 200,772 : x
  2. Step 2: Convert to fraction form
    370,537.92/511,344.09 = 200,772/x
  3. Step 3: Cross multiply
    370,537.92x = 511,344.09 × 200,772
  4. Step 4: Simplify right side
    370,537.92x = 102,663,575,637.48
  5. Step 5: Solve for x
    x = 102,663,575,637.48/370,537.92
  6. Step 6: Final answer
    x = 277,066.31

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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.