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Finding the Fourth Proportional to 310,333.74, 465,487.94 and 107,976.16

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Solution

The fourth proportional to 310,333.74, 465,487.94 and 107,976.16 is: 161,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,333.74 : 465,487.94 = 107,976.16 : x
  2. Step 2: Convert to fraction form
    310,333.74/465,487.94 = 107,976.16/x
  3. Step 3: Cross multiply
    310,333.74x = 465,487.94 × 107,976.16
  4. Step 4: Simplify right side
    310,333.74x = 50,261,600,287.51
  5. Step 5: Solve for x
    x = 50,261,600,287.51/310,333.74
  6. Step 6: Final answer
    x = 161,959.83

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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.