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Finding the Fourth Proportional to 413,676.35, 619,940.43 and 188,486.42

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Solution

The fourth proportional to 413,676.35, 619,940.43 and 188,486.42 is: 282,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,676.35 : 619,940.43 = 188,486.42 : x
  2. Step 2: Convert to fraction form
    413,676.35/619,940.43 = 188,486.42/x
  3. Step 3: Cross multiply
    413,676.35x = 619,940.43 × 188,486.42
  4. Step 4: Simplify right side
    413,676.35x = 116,850,352,263.96
  5. Step 5: Solve for x
    x = 116,850,352,263.96/413,676.35
  6. Step 6: Final answer
    x = 282,468.05

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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.