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Finding the Fourth Proportional to 394,017, 591,108.53 and 127,756.75

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Solution

The fourth proportional to 394,017, 591,108.53 and 127,756.75 is: 191,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,017 : 591,108.53 = 127,756.75 : x
  2. Step 2: Convert to fraction form
    394,017/591,108.53 = 127,756.75/x
  3. Step 3: Cross multiply
    394,017x = 591,108.53 × 127,756.75
  4. Step 4: Simplify right side
    394,017x = 75,518,104,690.08
  5. Step 5: Solve for x
    x = 75,518,104,690.08/394,017
  6. Step 6: Final answer
    x = 191,662.05

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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.