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Finding the Fourth Proportional to 402,331.80, 603,113.70 and 149,544.60

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Solution

The fourth proportional to 402,331.80, 603,113.70 and 149,544.60 is: 224,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,331.80 : 603,113.70 = 149,544.60 : x
  2. Step 2: Convert to fraction form
    402,331.80/603,113.70 = 149,544.60/x
  3. Step 3: Cross multiply
    402,331.80x = 603,113.70 × 149,544.60
  4. Step 4: Simplify right side
    402,331.80x = 90,192,397,021.02
  5. Step 5: Solve for x
    x = 90,192,397,021.02/402,331.80
  6. Step 6: Final answer
    x = 224,174.17

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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.