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Finding the Fourth Proportional to 430,975.45, 646,241.71 and 231,463.63

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Solution

The fourth proportional to 430,975.45, 646,241.71 and 231,463.63 is: 347,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,975.45 : 646,241.71 = 231,463.63 : x
  2. Step 2: Convert to fraction form
    430,975.45/646,241.71 = 231,463.63/x
  3. Step 3: Cross multiply
    430,975.45x = 646,241.71 × 231,463.63
  4. Step 4: Simplify right side
    430,975.45x = 149,581,452,054.01
  5. Step 5: Solve for x
    x = 149,581,452,054.01/430,975.45
  6. Step 6: Final answer
    x = 347,076.50

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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.