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Finding the Fourth Proportional to 402,474.20, 603,784.20 and 202,290.80

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Solution

The fourth proportional to 402,474.20, 603,784.20 and 202,290.80 is: 303,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,474.20 : 603,784.20 = 202,290.80 : x
  2. Step 2: Convert to fraction form
    402,474.20/603,784.20 = 202,290.80/x
  3. Step 3: Cross multiply
    402,474.20x = 603,784.20 × 202,290.80
  4. Step 4: Simplify right side
    402,474.20x = 122,139,988,845.36
  5. Step 5: Solve for x
    x = 122,139,988,845.36/402,474.20
  6. Step 6: Final answer
    x = 303,472.84

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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.