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Finding the Fourth Proportional to 406,782.88, 610,348.56 and 196,577.44

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Solution

The fourth proportional to 406,782.88, 610,348.56 and 196,577.44 is: 294,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,782.88 : 610,348.56 = 196,577.44 : x
  2. Step 2: Convert to fraction form
    406,782.88/610,348.56 = 196,577.44/x
  3. Step 3: Cross multiply
    406,782.88x = 610,348.56 × 196,577.44
  4. Step 4: Simplify right side
    406,782.88x = 119,980,757,432.49
  5. Step 5: Solve for x
    x = 119,980,757,432.49/406,782.88
  6. Step 6: Final answer
    x = 294,950.36

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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.