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Finding the Fourth Proportional to 399,429.20, 599,329.06 and 174,760.06

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Solution

The fourth proportional to 399,429.20, 599,329.06 and 174,760.06 is: 262,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,429.20 : 599,329.06 = 174,760.06 : x
  2. Step 2: Convert to fraction form
    399,429.20/599,329.06 = 174,760.06/x
  3. Step 3: Cross multiply
    399,429.20x = 599,329.06 × 174,760.06
  4. Step 4: Simplify right side
    399,429.20x = 104,738,782,485.34
  5. Step 5: Solve for x
    x = 104,738,782,485.34/399,429.20
  6. Step 6: Final answer
    x = 262,221.15

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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.