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Finding the Fourth Proportional to 394,276.80, 591,415.20 and 315,544.80

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Solution

The fourth proportional to 394,276.80, 591,415.20 and 315,544.80 is: 473,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,276.80 : 591,415.20 = 315,544.80 : x
  2. Step 2: Convert to fraction form
    394,276.80/591,415.20 = 315,544.80/x
  3. Step 3: Cross multiply
    394,276.80x = 591,415.20 × 315,544.80
  4. Step 4: Simplify right side
    394,276.80x = 186,617,991,000.96
  5. Step 5: Solve for x
    x = 186,617,991,000.96/394,276.80
  6. Step 6: Final answer
    x = 473,317.20

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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.