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Finding the Fourth Proportional to 252,721.54, 348,471.40 and 206,637.40

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Solution

The fourth proportional to 252,721.54, 348,471.40 and 206,637.40 is: 284,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,721.54 : 348,471.40 = 206,637.40 : x
  2. Step 2: Convert to fraction form
    252,721.54/348,471.40 = 206,637.40/x
  3. Step 3: Cross multiply
    252,721.54x = 348,471.40 × 206,637.40
  4. Step 4: Simplify right side
    252,721.54x = 72,007,221,294.82
  5. Step 5: Solve for x
    x = 72,007,221,294.82/252,721.54
  6. Step 6: Final answer
    x = 284,927.13

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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.