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Finding the Fourth Proportional to 310,943.26, 465,667.45 and 177,418.72

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Solution

The fourth proportional to 310,943.26, 465,667.45 and 177,418.72 is: 265,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,943.26 : 465,667.45 = 177,418.72 : x
  2. Step 2: Convert to fraction form
    310,943.26/465,667.45 = 177,418.72/x
  3. Step 3: Cross multiply
    310,943.26x = 465,667.45 × 177,418.72
  4. Step 4: Simplify right side
    310,943.26x = 82,618,122,924.66
  5. Step 5: Solve for x
    x = 82,618,122,924.66/310,943.26
  6. Step 6: Final answer
    x = 265,701.60

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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.