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Finding the Fourth Proportional to 643,185.34, 964,097.34 and 216,314.80

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Solution

The fourth proportional to 643,185.34, 964,097.34 and 216,314.80 is: 324,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,185.34 : 964,097.34 = 216,314.80 : x
  2. Step 2: Convert to fraction form
    643,185.34/964,097.34 = 216,314.80/x
  3. Step 3: Cross multiply
    643,185.34x = 964,097.34 × 216,314.80
  4. Step 4: Simplify right side
    643,185.34x = 208,548,523,282.63
  5. Step 5: Solve for x
    x = 208,548,523,282.63/643,185.34
  6. Step 6: Final answer
    x = 324,243.28

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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.