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Finding the Fourth Proportional to 413,730.44, 620,595.69 and 133,247.69

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Solution

The fourth proportional to 413,730.44, 620,595.69 and 133,247.69 is: 199,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,730.44 : 620,595.69 = 133,247.69 : x
  2. Step 2: Convert to fraction form
    413,730.44/620,595.69 = 133,247.69/x
  3. Step 3: Cross multiply
    413,730.44x = 620,595.69 × 133,247.69
  4. Step 4: Simplify right side
    413,730.44x = 82,692,942,116.46
  5. Step 5: Solve for x
    x = 82,692,942,116.46/413,730.44
  6. Step 6: Final answer
    x = 199,871.54

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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.