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Finding the Fourth Proportional to 333,945.16, 460,891.56 and 206,661.76

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Solution

The fourth proportional to 333,945.16, 460,891.56 and 206,661.76 is: 285,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,945.16 : 460,891.56 = 206,661.76 : x
  2. Step 2: Convert to fraction form
    333,945.16/460,891.56 = 206,661.76/x
  3. Step 3: Cross multiply
    333,945.16x = 460,891.56 × 206,661.76
  4. Step 4: Simplify right side
    333,945.16x = 95,248,660,958.75
  5. Step 5: Solve for x
    x = 95,248,660,958.75/333,945.16
  6. Step 6: Final answer
    x = 285,222.46

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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.