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Finding the Fourth Proportional to 310,334.74, 465,489.44 and 107,977.16

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Solution

The fourth proportional to 310,334.74, 465,489.44 and 107,977.16 is: 161,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,334.74 : 465,489.44 = 107,977.16 : x
  2. Step 2: Convert to fraction form
    310,334.74/465,489.44 = 107,977.16/x
  3. Step 3: Cross multiply
    310,334.74x = 465,489.44 × 107,977.16
  4. Step 4: Simplify right side
    310,334.74x = 50,262,227,741.19
  5. Step 5: Solve for x
    x = 50,262,227,741.19/310,334.74
  6. Step 6: Final answer
    x = 161,961.33

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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.