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Finding the Fourth Proportional to 412,178.94, 568,812.85 and 240,092.50

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Solution

The fourth proportional to 412,178.94, 568,812.85 and 240,092.50 is: 331,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,178.94 : 568,812.85 = 240,092.50 : x
  2. Step 2: Convert to fraction form
    412,178.94/568,812.85 = 240,092.50/x
  3. Step 3: Cross multiply
    412,178.94x = 568,812.85 × 240,092.50
  4. Step 4: Simplify right side
    412,178.94x = 136,567,699,188.63
  5. Step 5: Solve for x
    x = 136,567,699,188.63/412,178.94
  6. Step 6: Final answer
    x = 331,331.09

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Why These Related Problems?

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