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Finding the Fourth Proportional to 402,494.80, 603,742.20 and 192,542.80

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Solution

The fourth proportional to 402,494.80, 603,742.20 and 192,542.80 is: 288,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.80 : 603,742.20 = 192,542.80 : x
  2. Step 2: Convert to fraction form
    402,494.80/603,742.20 = 192,542.80/x
  3. Step 3: Cross multiply
    402,494.80x = 603,742.20 × 192,542.80
  4. Step 4: Simplify right side
    402,494.80x = 116,246,213,666.16
  5. Step 5: Solve for x
    x = 116,246,213,666.16/402,494.80
  6. Step 6: Final answer
    x = 288,814.20

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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.