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Finding the Fourth Proportional to 293,620.64, 440,275.44 and 116,120.48

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Solution

The fourth proportional to 293,620.64, 440,275.44 and 116,120.48 is: 174,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,620.64 : 440,275.44 = 116,120.48 : x
  2. Step 2: Convert to fraction form
    293,620.64/440,275.44 = 116,120.48/x
  3. Step 3: Cross multiply
    293,620.64x = 440,275.44 × 116,120.48
  4. Step 4: Simplify right side
    293,620.64x = 51,124,995,425.01
  5. Step 5: Solve for x
    x = 51,124,995,425.01/293,620.64
  6. Step 6: Final answer
    x = 174,119.22

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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.