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Finding the Fourth Proportional to 561,148.62, 842,058.26 and 206,198.52

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Solution

The fourth proportional to 561,148.62, 842,058.26 and 206,198.52 is: 309,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,148.62 : 842,058.26 = 206,198.52 : x
  2. Step 2: Convert to fraction form
    561,148.62/842,058.26 = 206,198.52/x
  3. Step 3: Cross multiply
    561,148.62x = 842,058.26 × 206,198.52
  4. Step 4: Simplify right side
    561,148.62x = 173,631,166,965.78
  5. Step 5: Solve for x
    x = 173,631,166,965.78/561,148.62
  6. Step 6: Final answer
    x = 309,421.00

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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.