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Finding the Fourth Proportional to 289,216.86, 434,491.29 and 205,185.66

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Solution

The fourth proportional to 289,216.86, 434,491.29 and 205,185.66 is: 308,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,216.86 : 434,491.29 = 205,185.66 : x
  2. Step 2: Convert to fraction form
    289,216.86/434,491.29 = 205,185.66/x
  3. Step 3: Cross multiply
    289,216.86x = 434,491.29 × 205,185.66
  4. Step 4: Simplify right side
    289,216.86x = 89,151,382,102.90
  5. Step 5: Solve for x
    x = 89,151,382,102.90/289,216.86
  6. Step 6: Final answer
    x = 308,250.99

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Why These Related Problems?

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