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Finding the Fourth Proportional to 306,424.98, 459,637.65 and 81,786.33

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Solution

The fourth proportional to 306,424.98, 459,637.65 and 81,786.33 is: 122,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,424.98 : 459,637.65 = 81,786.33 : x
  2. Step 2: Convert to fraction form
    306,424.98/459,637.65 = 81,786.33/x
  3. Step 3: Cross multiply
    306,424.98x = 459,637.65 × 81,786.33
  4. Step 4: Simplify right side
    306,424.98x = 37,592,076,523.32
  5. Step 5: Solve for x
    x = 37,592,076,523.32/306,424.98
  6. Step 6: Final answer
    x = 122,679.54

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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.