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Finding the Fourth Proportional to 561,262.81, 842,226.36 and 206,525.92

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Solution

The fourth proportional to 561,262.81, 842,226.36 and 206,525.92 is: 309,911.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,262.81 : 842,226.36 = 206,525.92 : x
  2. Step 2: Convert to fraction form
    561,262.81/842,226.36 = 206,525.92/x
  3. Step 3: Cross multiply
    561,262.81x = 842,226.36 × 206,525.92
  4. Step 4: Simplify right side
    561,262.81x = 173,941,573,847.25
  5. Step 5: Solve for x
    x = 173,941,573,847.25/561,262.81
  6. Step 6: Final answer
    x = 309,911.10

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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.