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Finding the Fourth Proportional to 406,965.60, 610,016.40 and 196,466.40

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Solution

The fourth proportional to 406,965.60, 610,016.40 and 196,466.40 is: 294,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,965.60 : 610,016.40 = 196,466.40 : x
  2. Step 2: Convert to fraction form
    406,965.60/610,016.40 = 196,466.40/x
  3. Step 3: Cross multiply
    406,965.60x = 610,016.40 × 196,466.40
  4. Step 4: Simplify right side
    406,965.60x = 119,847,726,048.96
  5. Step 5: Solve for x
    x = 119,847,726,048.96/406,965.60
  6. Step 6: Final answer
    x = 294,491.05

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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.