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Finding the Fourth Proportional to 406,924.40, 610,213.80 and 196,626.80

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Solution

The fourth proportional to 406,924.40, 610,213.80 and 196,626.80 is: 294,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,924.40 : 610,213.80 = 196,626.80 : x
  2. Step 2: Convert to fraction form
    406,924.40/610,213.80 = 196,626.80/x
  3. Step 3: Cross multiply
    406,924.40x = 610,213.80 × 196,626.80
  4. Step 4: Simplify right side
    406,924.40x = 119,984,386,809.84
  5. Step 5: Solve for x
    x = 119,984,386,809.84/406,924.40
  6. Step 6: Final answer
    x = 294,856.70

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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.