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Finding the Fourth Proportional to 310,659.57, 465,242.00 and 177,135.03

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Solution

The fourth proportional to 310,659.57, 465,242.00 and 177,135.03 is: 265,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,659.57 : 465,242.00 = 177,135.03 : x
  2. Step 2: Convert to fraction form
    310,659.57/465,242.00 = 177,135.03/x
  3. Step 3: Cross multiply
    310,659.57x = 465,242.00 × 177,135.03
  4. Step 4: Simplify right side
    310,659.57x = 82,410,654,741.58
  5. Step 5: Solve for x
    x = 82,410,654,741.58/310,659.57
  6. Step 6: Final answer
    x = 265,276.41

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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.