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Finding the Fourth Proportional to 393,744.80, 590,228.40 and 156,771.20

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Solution

The fourth proportional to 393,744.80, 590,228.40 and 156,771.20 is: 235,002.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,744.80 : 590,228.40 = 156,771.20 : x
  2. Step 2: Convert to fraction form
    393,744.80/590,228.40 = 156,771.20/x
  3. Step 3: Cross multiply
    393,744.80x = 590,228.40 × 156,771.20
  4. Step 4: Simplify right side
    393,744.80x = 92,530,814,542.08
  5. Step 5: Solve for x
    x = 92,530,814,542.08/393,744.80
  6. Step 6: Final answer
    x = 235,002.00

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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.