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Finding the Fourth Proportional to 310,429.26, 465,969.66 and 275,116.50

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Solution

The fourth proportional to 310,429.26, 465,969.66 and 275,116.50 is: 412,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,429.26 : 465,969.66 = 275,116.50 : x
  2. Step 2: Convert to fraction form
    310,429.26/465,969.66 = 275,116.50/x
  3. Step 3: Cross multiply
    310,429.26x = 465,969.66 × 275,116.50
  4. Step 4: Simplify right side
    310,429.26x = 128,195,941,965.39
  5. Step 5: Solve for x
    x = 128,195,941,965.39/310,429.26
  6. Step 6: Final answer
    x = 412,963.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.