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Finding the Fourth Proportional to 310,655.76, 465,236.25 and 177,131.19

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Solution

The fourth proportional to 310,655.76, 465,236.25 and 177,131.19 is: 265,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,655.76 : 465,236.25 = 177,131.19 : x
  2. Step 2: Convert to fraction form
    310,655.76/465,236.25 = 177,131.19/x
  3. Step 3: Cross multiply
    310,655.76x = 465,236.25 × 177,131.19
  4. Step 4: Simplify right side
    310,655.76x = 82,407,850,593.64
  5. Step 5: Solve for x
    x = 82,407,850,593.64/310,655.76
  6. Step 6: Final answer
    x = 265,270.63

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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.