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Finding the Fourth Proportional to 310,533.51, 465,898.73 and 110,849.61

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Solution

The fourth proportional to 310,533.51, 465,898.73 and 110,849.61 is: 166,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533.51 : 465,898.73 = 110,849.61 : x
  2. Step 2: Convert to fraction form
    310,533.51/465,898.73 = 110,849.61/x
  3. Step 3: Cross multiply
    310,533.51x = 465,898.73 × 110,849.61
  4. Step 4: Simplify right side
    310,533.51x = 51,644,691,965.75
  5. Step 5: Solve for x
    x = 51,644,691,965.75/310,533.51
  6. Step 6: Final answer
    x = 166,309.56

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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.