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Finding the Fourth Proportional to 431,205.76, 646,898.24 and 181,889.92

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Solution

The fourth proportional to 431,205.76, 646,898.24 and 181,889.92 is: 272,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,205.76 : 646,898.24 = 181,889.92 : x
  2. Step 2: Convert to fraction form
    431,205.76/646,898.24 = 181,889.92/x
  3. Step 3: Cross multiply
    431,205.76x = 646,898.24 × 181,889.92
  4. Step 4: Simplify right side
    431,205.76x = 117,664,269,121.74
  5. Step 5: Solve for x
    x = 117,664,269,121.74/431,205.76
  6. Step 6: Final answer
    x = 272,872.67

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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.