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Finding the Fourth Proportional to 295,571.70, 443,364.30 and 106,044.66

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Solution

The fourth proportional to 295,571.70, 443,364.30 and 106,044.66 is: 159,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,571.70 : 443,364.30 = 106,044.66 : x
  2. Step 2: Convert to fraction form
    295,571.70/443,364.30 = 106,044.66/x
  3. Step 3: Cross multiply
    295,571.70x = 443,364.30 × 106,044.66
  4. Step 4: Simplify right side
    295,571.70x = 47,016,416,449.64
  5. Step 5: Solve for x
    x = 47,016,416,449.64/295,571.70
  6. Step 6: Final answer
    x = 159,069.41

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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.