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Finding the Fourth Proportional to 293,651.20, 440,390.40 and 116,099.20

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Solution

The fourth proportional to 293,651.20, 440,390.40 and 116,099.20 is: 174,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,651.20 : 440,390.40 = 116,099.20 : x
  2. Step 2: Convert to fraction form
    293,651.20/440,390.40 = 116,099.20/x
  3. Step 3: Cross multiply
    293,651.20x = 440,390.40 × 116,099.20
  4. Step 4: Simplify right side
    293,651.20x = 51,128,973,127.68
  5. Step 5: Solve for x
    x = 51,128,973,127.68/293,651.20
  6. Step 6: Final answer
    x = 174,114.64

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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.