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Finding the Fourth Proportional to 283,911.36, 426,162.42 and 209,115.96

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Solution

The fourth proportional to 283,911.36, 426,162.42 and 209,115.96 is: 313,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,911.36 : 426,162.42 = 209,115.96 : x
  2. Step 2: Convert to fraction form
    283,911.36/426,162.42 = 209,115.96/x
  3. Step 3: Cross multiply
    283,911.36x = 426,162.42 × 209,115.96
  4. Step 4: Simplify right side
    283,911.36x = 89,117,363,574.22
  5. Step 5: Solve for x
    x = 89,117,363,574.22/283,911.36
  6. Step 6: Final answer
    x = 313,891.50

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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.