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Finding the Fourth Proportional to 310,917.77, 465,629.28 and 177,393.21

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Solution

The fourth proportional to 310,917.77, 465,629.28 and 177,393.21 is: 265,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,917.77 : 465,629.28 = 177,393.21 : x
  2. Step 2: Convert to fraction form
    310,917.77/465,629.28 = 177,393.21/x
  3. Step 3: Cross multiply
    310,917.77x = 465,629.28 × 177,393.21
  4. Step 4: Simplify right side
    310,917.77x = 82,599,472,649.19
  5. Step 5: Solve for x
    x = 82,599,472,649.19/310,917.77
  6. Step 6: Final answer
    x = 265,663.40

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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.