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Finding the Fourth Proportional to 402,410.80, 603,232.20 and 149,623.60

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Solution

The fourth proportional to 402,410.80, 603,232.20 and 149,623.60 is: 224,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,410.80 : 603,232.20 = 149,623.60 : x
  2. Step 2: Convert to fraction form
    402,410.80/603,232.20 = 149,623.60/x
  3. Step 3: Cross multiply
    402,410.80x = 603,232.20 × 149,623.60
  4. Step 4: Simplify right side
    402,410.80x = 90,257,773,399.92
  5. Step 5: Solve for x
    x = 90,257,773,399.92/402,410.80
  6. Step 6: Final answer
    x = 224,292.62

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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.