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Finding the Fourth Proportional to 412,178.44, 568,812.16 and 240,092

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Solution

The fourth proportional to 412,178.44, 568,812.16 and 240,092 is: 331,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,178.44 : 568,812.16 = 240,092 : x
  2. Step 2: Convert to fraction form
    412,178.44/568,812.16 = 240,092/x
  3. Step 3: Cross multiply
    412,178.44x = 568,812.16 × 240,092
  4. Step 4: Simplify right side
    412,178.44x = 136,567,249,118.72
  5. Step 5: Solve for x
    x = 136,567,249,118.72/412,178.44
  6. Step 6: Final answer
    x = 331,330.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.