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Finding the Fourth Proportional to 289,600.70, 434,401.05 and 279,923.90

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Solution

The fourth proportional to 289,600.70, 434,401.05 and 279,923.90 is: 419,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,600.70 : 434,401.05 = 279,923.90 : x
  2. Step 2: Convert to fraction form
    289,600.70/434,401.05 = 279,923.90/x
  3. Step 3: Cross multiply
    289,600.70x = 434,401.05 × 279,923.90
  4. Step 4: Simplify right side
    289,600.70x = 121,599,236,080.10
  5. Step 5: Solve for x
    x = 121,599,236,080.10/289,600.70
  6. Step 6: Final answer
    x = 419,885.85

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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.