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Finding the Fourth Proportional to 402,715.20, 603,381.60 and 262,401.60

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Solution

The fourth proportional to 402,715.20, 603,381.60 and 262,401.60 is: 393,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,715.20 : 603,381.60 = 262,401.60 : x
  2. Step 2: Convert to fraction form
    402,715.20/603,381.60 = 262,401.60/x
  3. Step 3: Cross multiply
    402,715.20x = 603,381.60 × 262,401.60
  4. Step 4: Simplify right side
    402,715.20x = 158,328,297,250.56
  5. Step 5: Solve for x
    x = 158,328,297,250.56/402,715.20
  6. Step 6: Final answer
    x = 393,152.03

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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.