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Finding the Fourth Proportional to 293,667.36, 440,642.16 and 160,542.24

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Solution

The fourth proportional to 293,667.36, 440,642.16 and 160,542.24 is: 240,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,667.36 : 440,642.16 = 160,542.24 : x
  2. Step 2: Convert to fraction form
    293,667.36/440,642.16 = 160,542.24/x
  3. Step 3: Cross multiply
    293,667.36x = 440,642.16 × 160,542.24
  4. Step 4: Simplify right side
    293,667.36x = 70,741,679,404.84
  5. Step 5: Solve for x
    x = 70,741,679,404.84/293,667.36
  6. Step 6: Final answer
    x = 240,890.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.