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Finding the Fourth Proportional to 617,658.54, 926,290.98 and 196,836

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Solution

The fourth proportional to 617,658.54, 926,290.98 and 196,836 is: 295,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,658.54 : 926,290.98 = 196,836 : x
  2. Step 2: Convert to fraction form
    617,658.54/926,290.98 = 196,836/x
  3. Step 3: Cross multiply
    617,658.54x = 926,290.98 × 196,836
  4. Step 4: Simplify right side
    617,658.54x = 182,327,411,339.28
  5. Step 5: Solve for x
    x = 182,327,411,339.28/617,658.54
  6. Step 6: Final answer
    x = 295,191.27

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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.