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Finding the Fourth Proportional to 406,878.80, 610,415.40 and 196,343.60

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Solution

The fourth proportional to 406,878.80, 610,415.40 and 196,343.60 is: 294,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,878.80 : 610,415.40 = 196,343.60 : x
  2. Step 2: Convert to fraction form
    406,878.80/610,415.40 = 196,343.60/x
  3. Step 3: Cross multiply
    406,878.80x = 610,415.40 × 196,343.60
  4. Step 4: Simplify right side
    406,878.80x = 119,851,157,131.44
  5. Step 5: Solve for x
    x = 119,851,157,131.44/406,878.80
  6. Step 6: Final answer
    x = 294,562.30

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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.