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Finding the Fourth Proportional to 565,954.97, 781,075.13 and 324,269.60

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Solution

The fourth proportional to 565,954.97, 781,075.13 and 324,269.60 is: 447,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,954.97 : 781,075.13 = 324,269.60 : x
  2. Step 2: Convert to fraction form
    565,954.97/781,075.13 = 324,269.60/x
  3. Step 3: Cross multiply
    565,954.97x = 781,075.13 × 324,269.60
  4. Step 4: Simplify right side
    565,954.97x = 253,278,914,448.32
  5. Step 5: Solve for x
    x = 253,278,914,448.32/565,954.97
  6. Step 6: Final answer
    x = 447,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.