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Finding the Fourth Proportional to 284,015.70, 426,023.55 and 84,366.90

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Solution

The fourth proportional to 284,015.70, 426,023.55 and 84,366.90 is: 126,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,015.70 : 426,023.55 = 84,366.90 : x
  2. Step 2: Convert to fraction form
    284,015.70/426,023.55 = 84,366.90/x
  3. Step 3: Cross multiply
    284,015.70x = 426,023.55 × 84,366.90
  4. Step 4: Simplify right side
    284,015.70x = 35,942,286,240.50
  5. Step 5: Solve for x
    x = 35,942,286,240.50/284,015.70
  6. Step 6: Final answer
    x = 126,550.35

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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.