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Finding the Fourth Proportional to 402,954.60, 603,740.70 and 192,138.60

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Solution

The fourth proportional to 402,954.60, 603,740.70 and 192,138.60 is: 287,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,954.60 : 603,740.70 = 192,138.60 : x
  2. Step 2: Convert to fraction form
    402,954.60/603,740.70 = 192,138.60/x
  3. Step 3: Cross multiply
    402,954.60x = 603,740.70 × 192,138.60
  4. Step 4: Simplify right side
    402,954.60x = 116,001,892,861.02
  5. Step 5: Solve for x
    x = 116,001,892,861.02/402,954.60
  6. Step 6: Final answer
    x = 287,878.32

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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.