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Finding the Fourth Proportional to 394,253.32, 591,384.30 and 113,773

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Solution

The fourth proportional to 394,253.32, 591,384.30 and 113,773 is: 170,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,253.32 : 591,384.30 = 113,773 : x
  2. Step 2: Convert to fraction form
    394,253.32/591,384.30 = 113,773/x
  3. Step 3: Cross multiply
    394,253.32x = 591,384.30 × 113,773
  4. Step 4: Simplify right side
    394,253.32x = 67,283,565,963.90
  5. Step 5: Solve for x
    x = 67,283,565,963.90/394,253.32
  6. Step 6: Final answer
    x = 170,660.75

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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.