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Finding the Fourth Proportional to 293,995.44, 440,643.24 and 169,074

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Solution

The fourth proportional to 293,995.44, 440,643.24 and 169,074 is: 253,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,995.44 : 440,643.24 = 169,074 : x
  2. Step 2: Convert to fraction form
    293,995.44/440,643.24 = 169,074/x
  3. Step 3: Cross multiply
    293,995.44x = 440,643.24 × 169,074
  4. Step 4: Simplify right side
    293,995.44x = 74,501,315,159.76
  5. Step 5: Solve for x
    x = 74,501,315,159.76/293,995.44
  6. Step 6: Final answer
    x = 253,409.76

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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.