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Finding the Fourth Proportional to 333,789.54, 500,686.47 and 84,471.54

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Solution

The fourth proportional to 333,789.54, 500,686.47 and 84,471.54 is: 126,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,789.54 : 500,686.47 = 84,471.54 : x
  2. Step 2: Convert to fraction form
    333,789.54/500,686.47 = 84,471.54/x
  3. Step 3: Cross multiply
    333,789.54x = 500,686.47 × 84,471.54
  4. Step 4: Simplify right side
    333,789.54x = 42,293,757,178.06
  5. Step 5: Solve for x
    x = 42,293,757,178.06/333,789.54
  6. Step 6: Final answer
    x = 126,707.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.