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Finding the Fourth Proportional to 394,705.33, 591,967.43 and 110,416.01

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Solution

The fourth proportional to 394,705.33, 591,967.43 and 110,416.01 is: 165,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,705.33 : 591,967.43 = 110,416.01 : x
  2. Step 2: Convert to fraction form
    394,705.33/591,967.43 = 110,416.01/x
  3. Step 3: Cross multiply
    394,705.33x = 591,967.43 × 110,416.01
  4. Step 4: Simplify right side
    394,705.33x = 65,362,681,118.47
  5. Step 5: Solve for x
    x = 65,362,681,118.47/394,705.33
  6. Step 6: Final answer
    x = 165,598.68

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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.