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Finding the Fourth Proportional to 289,356.50, 433,509.87 and 213,642.56

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Solution

The fourth proportional to 289,356.50, 433,509.87 and 213,642.56 is: 320,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,356.50 : 433,509.87 = 213,642.56 : x
  2. Step 2: Convert to fraction form
    289,356.50/433,509.87 = 213,642.56/x
  3. Step 3: Cross multiply
    289,356.50x = 433,509.87 × 213,642.56
  4. Step 4: Simplify right side
    289,356.50x = 92,616,160,297.00
  5. Step 5: Solve for x
    x = 92,616,160,297.00/289,356.50
  6. Step 6: Final answer
    x = 320,076.31

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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.