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Finding the Fourth Proportional to 406,048.80, 609,764.40 and 300,986.40

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Solution

The fourth proportional to 406,048.80, 609,764.40 and 300,986.40 is: 451,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,048.80 : 609,764.40 = 300,986.40 : x
  2. Step 2: Convert to fraction form
    406,048.80/609,764.40 = 300,986.40/x
  3. Step 3: Cross multiply
    406,048.80x = 609,764.40 × 300,986.40
  4. Step 4: Simplify right side
    406,048.80x = 183,530,791,604.16
  5. Step 5: Solve for x
    x = 183,530,791,604.16/406,048.80
  6. Step 6: Final answer
    x = 451,991.96

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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.