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Finding the Fourth Proportional to 293,451.60, 440,323.20 and 115,964.40

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Solution

The fourth proportional to 293,451.60, 440,323.20 and 115,964.40 is: 174,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,451.60 : 440,323.20 = 115,964.40 : x
  2. Step 2: Convert to fraction form
    293,451.60/440,323.20 = 115,964.40/x
  3. Step 3: Cross multiply
    293,451.60x = 440,323.20 × 115,964.40
  4. Step 4: Simplify right side
    293,451.60x = 51,061,815,694.08
  5. Step 5: Solve for x
    x = 51,061,815,694.08/293,451.60
  6. Step 6: Final answer
    x = 174,004.22

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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.