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Finding the Fourth Proportional to 333,716.58, 500,470.20 and 109,025.82

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Solution

The fourth proportional to 333,716.58, 500,470.20 and 109,025.82 is: 163,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,716.58 : 500,470.20 = 109,025.82 : x
  2. Step 2: Convert to fraction form
    333,716.58/500,470.20 = 109,025.82/x
  3. Step 3: Cross multiply
    333,716.58x = 500,470.20 × 109,025.82
  4. Step 4: Simplify right side
    333,716.58x = 54,564,173,940.56
  5. Step 5: Solve for x
    x = 54,564,173,940.56/333,716.58
  6. Step 6: Final answer
    x = 163,504.53

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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.