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Finding the Fourth Proportional to 293,912.59, 440,993.70 and 160,637.14

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Solution

The fourth proportional to 293,912.59, 440,993.70 and 160,637.14 is: 241,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,912.59 : 440,993.70 = 160,637.14 : x
  2. Step 2: Convert to fraction form
    293,912.59/440,993.70 = 160,637.14/x
  3. Step 3: Cross multiply
    293,912.59x = 440,993.70 × 160,637.14
  4. Step 4: Simplify right side
    293,912.59x = 70,839,966,726.02
  5. Step 5: Solve for x
    x = 70,839,966,726.02/293,912.59
  6. Step 6: Final answer
    x = 241,023.93

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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.