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Finding the Fourth Proportional to 406,913.40, 610,197.30 and 196,615.80

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Solution

The fourth proportional to 406,913.40, 610,197.30 and 196,615.80 is: 294,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,913.40 : 610,197.30 = 196,615.80 : x
  2. Step 2: Convert to fraction form
    406,913.40/610,197.30 = 196,615.80/x
  3. Step 3: Cross multiply
    406,913.40x = 610,197.30 × 196,615.80
  4. Step 4: Simplify right side
    406,913.40x = 119,974,430,297.34
  5. Step 5: Solve for x
    x = 119,974,430,297.34/406,913.40
  6. Step 6: Final answer
    x = 294,840.21

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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.